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   "source": [
    "# Generative Adversarial Networks (GANs)\n",
    "\n",
    "So far in CS231N, all the applications of neural networks that we have explored have been **discriminative models** that take an input and are trained to produce a labeled output. This has ranged from straightforward classification of image categories to sentence generation (which was still phrased as a classification problem, our labels were in vocabulary space and we’d learned a recurrence to capture multi-word labels). In this notebook, we will expand our repetoire, and build **generative models** using neural networks. Specifically, we will learn how to build models which generate novel images that resemble a set of training images.\n",
    "\n",
    "### What is a GAN?\n",
    "\n",
    "In 2014, [Goodfellow et al.](https://arxiv.org/abs/1406.2661) presented a method for training generative models called Generative Adversarial Networks (GANs for short). In a GAN, we build two different neural networks. Our first network is a traditional classification network, called the **discriminator**. We will train the discriminator to take images, and classify them as being real (belonging to the training set) or fake (not present in the training set). Our other network, called the **generator**, will take random noise as input and transform it using a neural network to produce images. The goal of the generator is to fool the discriminator into thinking the images it produced are real.\n",
    "\n",
    "We can think of this back and forth process of the generator ($G$) trying to fool the discriminator ($D$), and the discriminator trying to correctly classify real vs. fake as a minimax game:\n",
    "$$\\underset{G}{\\text{minimize}}\\; \\underset{D}{\\text{maximize}}\\; \\mathbb{E}_{x \\sim p_\\text{data}}\\left[\\log D(x)\\right] + \\mathbb{E}_{z \\sim p(z)}\\left[\\log \\left(1-D(G(z))\\right)\\right]$$\n",
    "where $z \\sim p(z)$ are the random noise samples, $G(z)$ are the generated images using the neural network generator $G$, and $D$ is the output of the discriminator, specifying the probability of an input being real. In [Goodfellow et al.](https://arxiv.org/abs/1406.2661), they analyze this minimax game and show how it relates to minimizing the Jensen-Shannon divergence between the training data distribution and the generated samples from $G$.\n",
    "\n",
    "To optimize this minimax game, we will aternate between taking gradient *descent* steps on the objective for $G$, and gradient *ascent* steps on the objective for $D$:\n",
    "1. update the **generator** ($G$) to minimize the probability of the __discriminator making the correct choice__. \n",
    "2. update the **discriminator** ($D$) to maximize the probability of the __discriminator making the correct choice__.\n",
    "\n",
    "While these updates are useful for analysis, they do not perform well in practice. Instead, we will use a different objective when we update the generator: maximize the probability of the **discriminator making the incorrect choice**. This small change helps to allevaiate problems with the generator gradient vanishing when the discriminator is confident. This is the standard update used in most GAN papers, and was used in the original paper from [Goodfellow et al.](https://arxiv.org/abs/1406.2661). \n",
    "\n",
    "In this assignment, we will alternate the following updates:\n",
    "1. Update the generator ($G$) to maximize the probability of the discriminator making the incorrect choice on generated data:\n",
    "$$\\underset{G}{\\text{maximize}}\\;  \\mathbb{E}_{z \\sim p(z)}\\left[\\log D(G(z))\\right]$$\n",
    "2. Update the discriminator ($D$), to maximize the probability of the discriminator making the correct choice on real and generated data:\n",
    "$$\\underset{D}{\\text{maximize}}\\; \\mathbb{E}_{x \\sim p_\\text{data}}\\left[\\log D(x)\\right] + \\mathbb{E}_{z \\sim p(z)}\\left[\\log \\left(1-D(G(z))\\right)\\right]$$\n",
    "\n",
    "### What else is there?\n",
    "Since 2014, GANs have exploded into a huge research area, with massive [workshops](https://sites.google.com/site/nips2016adversarial/), and [hundreds of new papers](https://github.com/hindupuravinash/the-gan-zoo). Compared to other approaches for generative models, they often produce the highest quality samples but are some of the most difficult and finicky models to train (see [this github repo](https://github.com/soumith/ganhacks) that contains a set of 17 hacks that are useful for getting models working). Improving the stabiilty and robustness of GAN training is an open research question, with new papers coming out every day! For a more recent tutorial on GANs, see [here](https://arxiv.org/abs/1701.00160). There is also some even more recent exciting work that changes the objective function to Wasserstein distance and yields much more stable results across model architectures: [WGAN](https://arxiv.org/abs/1701.07875), [WGAN-GP](https://arxiv.org/abs/1704.00028).\n",
    "\n",
    "\n",
    "GANs are not the only way to train a generative model! For other approaches to generative modeling check out the [deep generative model chapter](http://www.deeplearningbook.org/contents/generative_models.html) of the Deep Learning [book](http://www.deeplearningbook.org). Another popular way of training neural networks as generative models is Variational Autoencoders (co-discovered [here](https://arxiv.org/abs/1312.6114) and [here](https://arxiv.org/abs/1401.4082)). Variatonal autoencoders combine neural networks with variationl inference to train deep generative models. These models tend to be far more stable and easier to train but currently don't produce samples that are as pretty as GANs.\n",
    "\n",
    "Here's an example of what your outputs from the 3 different models you're going to train should look like... note that GANs are sometimes finicky, so your outputs might not look exactly like this... this is just meant to be a *rough* guideline of the kind of quality you can expect:\n",
    "\n",
    "![caption](gan_outputs_pytorch.png)"
   ]
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   "metadata": {
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   "source": [
    "## Setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "tags": [
     "pdf-ignore"
    ]
   },
   "outputs": [],
   "source": [
    "import torch\n",
    "import torch.nn as nn\n",
    "from torch.nn import init\n",
    "import torchvision\n",
    "import torchvision.transforms as T\n",
    "import torch.optim as optim\n",
    "from torch.utils.data import DataLoader\n",
    "from torch.utils.data import sampler\n",
    "import torchvision.datasets as dset\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.gridspec as gridspec\n",
    "\n",
    "%matplotlib inline\n",
    "plt.rcParams['figure.figsize'] = (10.0, 8.0) # set default size of plots\n",
    "plt.rcParams['image.interpolation'] = 'nearest'\n",
    "plt.rcParams['image.cmap'] = 'gray'\n",
    "\n",
    "def show_images(images):\n",
    "    images = np.reshape(images, [images.shape[0], -1])  # images reshape to (batch_size, D)\n",
    "    sqrtn = int(np.ceil(np.sqrt(images.shape[0])))\n",
    "    sqrtimg = int(np.ceil(np.sqrt(images.shape[1])))\n",
    "\n",
    "    fig = plt.figure(figsize=(sqrtn, sqrtn))\n",
    "     \n",
    "    gs = gridspec.GridSpec(sqrtn, sqrtn)\n",
    "    gs.update(wspace=0.05, hspace=0.05)\n",
    "\n",
    "    for i, img in enumerate(images):\n",
    "        ax = plt.subplot(gs[i])\n",
    "        plt.axis('off')\n",
    "        ax.set_xticklabels([])\n",
    "        ax.set_yticklabels([])\n",
    "        ax.set_aspect('equal')\n",
    "        plt.imshow(img.reshape([sqrtimg,sqrtimg]))\n",
    "    return \n",
    "\n",
    "def preprocess_img(x):\n",
    "    return 2 * x - 1.0\n",
    "\n",
    "def deprocess_img(x):\n",
    "    return (x + 1.0) / 2.0\n",
    "\n",
    "def rel_error(x,y):\n",
    "    return np.max(np.abs(x - y) / (np.maximum(1e-8, np.abs(x) + np.abs(y))))\n",
    "\n",
    "def count_params(model):\n",
    "    \"\"\"Count the number of parameters in the current TensorFlow graph \"\"\"\n",
    "    param_count = np.sum([np.prod(p.size()) for p in model.parameters()])\n",
    "    return param_count\n",
    "\n",
    "answers = dict(np.load('gan-checks-tf.npz'))"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "pdf-ignore"
    ]
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   "source": [
    "## Dataset\n",
    " GANs are notoriously finicky with hyperparameters, and also require many training epochs. In order to make this assignment approachable without a GPU, we will be working on the MNIST dataset, which is 60,000 training and 10,000 test images. Each picture contains a centered image of white digit on black background (0 through 9). This was one of the first datasets used to train convolutional neural networks and it is fairly easy -- a standard CNN model can easily exceed 99% accuracy. \n",
    "\n",
    "To simplify our code here, we will use the PyTorch MNIST wrapper, which downloads and loads the MNIST dataset. See the [documentation](https://github.com/pytorch/vision/blob/master/torchvision/datasets/mnist.py) for more information about the interface. The default parameters will take 5,000 of the training examples and place them into a validation dataset. The data will be saved into a folder called `MNIST_data`. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "tags": [
     "pdf-ignore"
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   "outputs": [
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\n",
      "text/plain": [
       "<Figure size 864x864 with 128 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "class ChunkSampler(sampler.Sampler):\n",
    "    \"\"\"Samples elements sequentially from some offset. \n",
    "    Arguments:\n",
    "        num_samples: # of desired datapoints\n",
    "        start: offset where we should start selecting from\n",
    "    \"\"\"\n",
    "    def __init__(self, num_samples, start=0):\n",
    "        self.num_samples = num_samples\n",
    "        self.start = start\n",
    "\n",
    "    def __iter__(self):\n",
    "        return iter(range(self.start, self.start + self.num_samples))\n",
    "\n",
    "    def __len__(self):\n",
    "        return self.num_samples\n",
    "\n",
    "NUM_TRAIN = 50000\n",
    "NUM_VAL = 5000\n",
    "\n",
    "NOISE_DIM = 96\n",
    "batch_size = 128\n",
    "\n",
    "mnist_train = dset.MNIST('./cs231n/datasets/MNIST_data', train=True, download=True,\n",
    "                           transform=T.ToTensor())\n",
    "loader_train = DataLoader(mnist_train, batch_size=batch_size,\n",
    "                          sampler=ChunkSampler(NUM_TRAIN, 0))\n",
    "\n",
    "mnist_val = dset.MNIST('./cs231n/datasets/MNIST_data', train=True, download=True,\n",
    "                           transform=T.ToTensor())\n",
    "loader_val = DataLoader(mnist_val, batch_size=batch_size,\n",
    "                        sampler=ChunkSampler(NUM_VAL, NUM_TRAIN))\n",
    "\n",
    "\n",
    "imgs = loader_train.__iter__().next()[0].view(batch_size, 784).numpy().squeeze()\n",
    "show_images(imgs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Random Noise\n",
    "Generate uniform noise from -1 to 1 with shape `[batch_size, dim]`.\n",
    "\n",
    "Hint: use `torch.rand`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def sample_noise(batch_size, dim):\n",
    "    \"\"\"\n",
    "    Generate a PyTorch Tensor of uniform random noise.\n",
    "\n",
    "    Input:\n",
    "    - batch_size: Integer giving the batch size of noise to generate.\n",
    "    - dim: Integer giving the dimension of noise to generate.\n",
    "    \n",
    "    Output:\n",
    "    - A PyTorch Tensor of shape (batch_size, dim) containing uniform\n",
    "      random noise in the range (-1, 1).\n",
    "    \"\"\"\n",
    "    # *****START OF YOUR CODE (DO NOT DELETE/MODIFY THIS LINE)*****\n",
    "\n",
    "    return torch.rand((batch_size,dim))*2-1\n",
    "\n",
    "    # *****END OF YOUR CODE (DO NOT DELETE/MODIFY THIS LINE)*****\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Make sure noise is the correct shape and type:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "All tests passed!\n"
     ]
    }
   ],
   "source": [
    "def test_sample_noise():\n",
    "    batch_size = 3\n",
    "    dim = 4\n",
    "    torch.manual_seed(231)\n",
    "    z = sample_noise(batch_size, dim)\n",
    "    np_z = z.cpu().numpy()\n",
    "    assert np_z.shape == (batch_size, dim)\n",
    "    assert torch.is_tensor(z)\n",
    "    assert np.all(np_z >= -1.0) and np.all(np_z <= 1.0)\n",
    "    assert np.any(np_z < 0.0) and np.any(np_z > 0.0)\n",
    "    print('All tests passed!')\n",
    "    \n",
    "test_sample_noise()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "pdf-ignore"
    ]
   },
   "source": [
    "## Flatten\n",
    "\n",
    "Recall our Flatten operation from previous notebooks... this time we also provide an Unflatten, which you might want to use when implementing the convolutional generator. We also provide a weight initializer (and call it for you) that uses Xavier initialization instead of PyTorch's uniform default."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "tags": [
     "pdf-ignore"
    ]
   },
   "outputs": [],
   "source": [
    "class Flatten(nn.Module):\n",
    "    def forward(self, x):\n",
    "        N, C, H, W = x.size() # read in N, C, H, W\n",
    "        return x.view(N, -1)  # \"flatten\" the C * H * W values into a single vector per image\n",
    "    \n",
    "class Unflatten(nn.Module):\n",
    "    \"\"\"\n",
    "    An Unflatten module receives an input of shape (N, C*H*W) and reshapes it\n",
    "    to produce an output of shape (N, C, H, W).\n",
    "    \"\"\"\n",
    "    def __init__(self, N=-1, C=128, H=7, W=7):\n",
    "        super(Unflatten, self).__init__()\n",
    "        self.N = N\n",
    "        self.C = C\n",
    "        self.H = H\n",
    "        self.W = W\n",
    "    def forward(self, x):\n",
    "        return x.view(self.N, self.C, self.H, self.W)\n",
    "\n",
    "def initialize_weights(m):\n",
    "    if isinstance(m, nn.Linear) or isinstance(m, nn.ConvTranspose2d):\n",
    "        init.xavier_uniform_(m.weight.data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "pdf-ignore"
    ]
   },
   "source": [
    "## CPU / GPU\n",
    "By default all code will run on CPU. GPUs are not needed for this assignment, but will help you to train your models faster. If you do want to run the code on a GPU, then change the `dtype` variable in the following cell."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "tags": [
     "pdf-ignore"
    ]
   },
   "outputs": [],
   "source": [
    "#dtype = torch.FloatTensor\n",
    "dtype = torch.cuda.FloatTensor ## UNCOMMENT THIS LINE IF YOU'RE ON A GPU!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Discriminator\n",
    "Our first step is to build a discriminator. Fill in the architecture as part of the `nn.Sequential` constructor in the function below. All fully connected layers should include bias terms. The architecture is:\n",
    " * Fully connected layer with input size 784 and output size 256\n",
    " * LeakyReLU with alpha 0.01\n",
    " * Fully connected layer with input_size 256 and output size 256\n",
    " * LeakyReLU with alpha 0.01\n",
    " * Fully connected layer with input size 256 and output size 1\n",
    " \n",
    "Recall that the Leaky ReLU nonlinearity computes $f(x) = \\max(\\alpha x, x)$ for some fixed constant $\\alpha$; for the LeakyReLU nonlinearities in the architecture above we set $\\alpha=0.01$.\n",
    " \n",
    "The output of the discriminator should have shape `[batch_size, 1]`, and contain real numbers corresponding to the scores that each of the `batch_size` inputs is a real image."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def discriminator():\n",
    "    \"\"\"\n",
    "    Build and return a PyTorch model implementing the architecture above.\n",
    "    \"\"\"\n",
    "    model = nn.Sequential(\n",
    "            # *****START OF YOUR CODE (DO NOT DELETE/MODIFY THIS LINE)*****\n",
    "            nn.Flatten(1),\n",
    "            nn.Linear(784,256),\n",
    "            nn.LeakyReLU(),\n",
    "            nn.Linear(256,256),\n",
    "            nn.LeakyReLU(),\n",
    "            nn.Linear(256,1)\n",
    "            # *****END OF YOUR CODE (DO NOT DELETE/MODIFY THIS LINE)*****\n",
    "    )\n",
    "    return model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Test to make sure the number of parameters in the discriminator is correct:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Correct number of parameters in discriminator.\n"
     ]
    }
   ],
   "source": [
    "def test_discriminator(true_count=267009):\n",
    "    model = discriminator()\n",
    "    cur_count = count_params(model)\n",
    "    if cur_count != true_count:\n",
    "        print('Incorrect number of parameters in discriminator. Check your achitecture.')\n",
    "    else:\n",
    "        print('Correct number of parameters in discriminator.')     \n",
    "\n",
    "test_discriminator()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Generator\n",
    "Now to build the generator network:\n",
    " * Fully connected layer from noise_dim to 1024\n",
    " * `ReLU`\n",
    " * Fully connected layer with size 1024 \n",
    " * `ReLU`\n",
    " * Fully connected layer with size 784\n",
    " * `TanH` (to clip the image to be in the range of [-1,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def generator(noise_dim=NOISE_DIM):\n",
    "    \"\"\"\n",
    "    Build and return a PyTorch model implementing the architecture above.\n",
    "    \"\"\"\n",
    "    model = nn.Sequential(\n",
    "            # *****START OF YOUR CODE (DO NOT DELETE/MODIFY THIS LINE)*****\n",
    "            nn.Linear(noise_dim,1024),\n",
    "            nn.ReLU(),\n",
    "            nn.Linear(1024,1024),\n",
    "            nn.ReLU(),\n",
    "            nn.Linear(1024,784),\n",
    "            nn.Tanh()\n",
    "            # *****END OF YOUR CODE (DO NOT DELETE/MODIFY THIS LINE)*****\n",
    "    )\n",
    "    return model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Test to make sure the number of parameters in the generator is correct:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Correct number of parameters in generator.\n"
     ]
    }
   ],
   "source": [
    "def test_generator(true_count=1858320):\n",
    "    model = generator(4)\n",
    "    cur_count = count_params(model)\n",
    "    if cur_count != true_count:\n",
    "        print('Incorrect number of parameters in generator. Check your achitecture.')\n",
    "    else:\n",
    "        print('Correct number of parameters in generator.')\n",
    "\n",
    "test_generator()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# GAN Loss\n",
    "\n",
    "Compute the generator and discriminator loss. The generator loss is:\n",
    "$$\\ell_G  =  -\\mathbb{E}_{z \\sim p(z)}\\left[\\log D(G(z))\\right]$$\n",
    "and the discriminator loss is:\n",
    "$$ \\ell_D = -\\mathbb{E}_{x \\sim p_\\text{data}}\\left[\\log D(x)\\right] - \\mathbb{E}_{z \\sim p(z)}\\left[\\log \\left(1-D(G(z))\\right)\\right]$$\n",
    "Note that these are negated from the equations presented earlier as we will be *minimizing* these losses.\n",
    "\n",
    "**HINTS**: You should use the `bce_loss` function defined below to compute the binary cross entropy loss which is needed to compute the log probability of the true label given the logits output from the discriminator. Given a score $s\\in\\mathbb{R}$ and a label $y\\in\\{0, 1\\}$, the binary cross entropy loss is\n",
    "\n",
    "$$ bce(s, y) = -y * \\log(s) - (1 - y) * \\log(1 - s) $$\n",
    "\n",
    "A naive implementation of this formula can be numerically unstable, so we have provided a numerically stable implementation for you below.\n",
    "\n",
    "You will also need to compute labels corresponding to real or fake and use the logit arguments to determine their size. Make sure you cast these labels to the correct data type using the global `dtype` variable, for example:\n",
    "\n",
    "\n",
    "`true_labels = torch.ones(size).type(dtype)`\n",
    "\n",
    "Instead of computing the expectation of $\\log D(G(z))$, $\\log D(x)$ and $\\log \\left(1-D(G(z))\\right)$, we will be averaging over elements of the minibatch, so make sure to combine the loss by averaging instead of summing."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "tags": [
     "pdf-ignore"
    ]
   },
   "outputs": [],
   "source": [
    "def bce_loss(input, target):\n",
    "    \"\"\"\n",
    "    Numerically stable version of the binary cross-entropy loss function.\n",
    "\n",
    "    As per https://github.com/pytorch/pytorch/issues/751\n",
    "    See the TensorFlow docs for a derivation of this formula:\n",
    "    https://www.tensorflow.org/api_docs/python/tf/nn/sigmoid_cross_entropy_with_logits\n",
    "\n",
    "    Inputs:\n",
    "    - input: PyTorch Tensor of shape (N, ) giving scores.\n",
    "    - target: PyTorch Tensor of shape (N,) containing 0 and 1 giving targets.\n",
    "\n",
    "    Returns:\n",
    "    - A PyTorch Tensor containing the mean BCE loss over the minibatch of input data.\n",
    "    \"\"\"\n",
    "    neg_abs = - input.abs()\n",
    "    loss = input.clamp(min=0) - input * target + (1 + neg_abs.exp()).log()\n",
    "    return loss.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def discriminator_loss(logits_real, logits_fake):\n",
    "    \"\"\"\n",
    "    Computes the discriminator loss described above.\n",
    "    \n",
    "    Inputs:\n",
    "    - logits_real: PyTorch Tensor of shape (N,) giving scores for the real data.\n",
    "    - logits_fake: PyTorch Tensor of shape (N,) giving scores for the fake data.\n",
    "    \n",
    "    Returns:\n",
    "    - loss: PyTorch Tensor containing (scalar) the loss for the discriminator.\n",
    "    \"\"\"\n",
    "    size=logits_real.size()\n",
    "    true_labels = torch.ones(size).type(dtype)\n",
    "    loss = bce_loss(logits_real,true_labels)+bce_loss(logits_fake,true_labels-1)\n",
    "    return loss\n",
    "\n",
    "def generator_loss(logits_fake):\n",
    "    \"\"\"\n",
    "    Computes the generator loss described above.\n",
    "\n",
    "    Inputs:\n",
    "    - logits_fake: PyTorch Tensor of shape (N,) giving scores for the fake data.\n",
    "    \n",
    "    Returns:\n",
    "    - loss: PyTorch Tensor containing the (scalar) loss for the generator.\n",
    "    \"\"\"\n",
    "    size=logits_fake.size()\n",
    "    true_labels = torch.ones(size).type(dtype)\n",
    "    loss = bce_loss(logits_fake,true_labels)\n",
    "    return loss"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Test your generator and discriminator loss. You should see errors < 1e-7."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum error in d_loss: 3.97058e-09\n"
     ]
    }
   ],
   "source": [
    "def test_discriminator_loss(logits_real, logits_fake, d_loss_true):\n",
    "    d_loss = discriminator_loss(torch.Tensor(logits_real).type(dtype),\n",
    "                                torch.Tensor(logits_fake).type(dtype)).cpu().numpy()\n",
    "    print(\"Maximum error in d_loss: %g\"%rel_error(d_loss_true, d_loss))\n",
    "\n",
    "test_discriminator_loss(answers['logits_real'], answers['logits_fake'],\n",
    "                        answers['d_loss_true'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum error in g_loss: 4.4518e-09\n"
     ]
    }
   ],
   "source": [
    "def test_generator_loss(logits_fake, g_loss_true):\n",
    "    g_loss = generator_loss(torch.Tensor(logits_fake).type(dtype)).cpu().numpy()\n",
    "    print(\"Maximum error in g_loss: %g\"%rel_error(g_loss_true, g_loss))\n",
    "\n",
    "test_generator_loss(answers['logits_fake'], answers['g_loss_true'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Optimizing our loss\n",
    "Make a function that returns an `optim.Adam` optimizer for the given model with a 1e-3 learning rate, beta1=0.5, beta2=0.999. You'll use this to construct optimizers for the generators and discriminators for the rest of the notebook."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_optimizer(model):\n",
    "    \"\"\"\n",
    "    Construct and return an Adam optimizer for the model with learning rate 1e-3,\n",
    "    beta1=0.5, and beta2=0.999.\n",
    "    \n",
    "    Input:\n",
    "    - model: A PyTorch model that we want to optimize.\n",
    "    \n",
    "    Returns:\n",
    "    - An Adam optimizer for the model with the desired hyperparameters.\n",
    "    \"\"\"\n",
    "    optimizer = optim.Adam(model.parameters(),betas=(0.5,0.999))\n",
    "    return optimizer"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Training a GAN!\n",
    "\n",
    "We provide you the main training loop... you won't need to change this function, but we encourage you to read through and understand it. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "tags": [
     "pdf-ignore"
    ]
   },
   "outputs": [],
   "source": [
    "def run_a_gan(D, G, D_solver, G_solver, discriminator_loss, generator_loss, show_every=250, \n",
    "              batch_size=128, noise_size=96, num_epochs=10):\n",
    "    \"\"\"\n",
    "    Train a GAN!\n",
    "    \n",
    "    Inputs:\n",
    "    - D, G: PyTorch models for the discriminator and generator\n",
    "    - D_solver, G_solver: torch.optim Optimizers to use for training the\n",
    "      discriminator and generator.\n",
    "    - discriminator_loss, generator_loss: Functions to use for computing the generator and\n",
    "      discriminator loss, respectively.\n",
    "    - show_every: Show samples after every show_every iterations.\n",
    "    - batch_size: Batch size to use for training.\n",
    "    - noise_size: Dimension of the noise to use as input to the generator.\n",
    "    - num_epochs: Number of epochs over the training dataset to use for training.\n",
    "    \"\"\"\n",
    "    iter_count = 0\n",
    "    for epoch in range(num_epochs):\n",
    "        for x, _ in loader_train:\n",
    "            if len(x) != batch_size:\n",
    "                continue\n",
    "            D_solver.zero_grad()\n",
    "            real_data = x.type(dtype)\n",
    "            logits_real = D(2* (real_data - 0.5)).type(dtype)\n",
    "\n",
    "            g_fake_seed = sample_noise(batch_size, noise_size).type(dtype)\n",
    "            fake_images = G(g_fake_seed).detach()\n",
    "            logits_fake = D(fake_images.view(batch_size, 1, 28, 28))\n",
    "\n",
    "            d_total_error = discriminator_loss(logits_real, logits_fake)\n",
    "            d_total_error.backward()        \n",
    "            D_solver.step()\n",
    "\n",
    "            G_solver.zero_grad()\n",
    "            g_fake_seed = sample_noise(batch_size, noise_size).type(dtype)\n",
    "            fake_images = G(g_fake_seed)\n",
    "\n",
    "            gen_logits_fake = D(fake_images.view(batch_size, 1, 28, 28))\n",
    "            g_error = generator_loss(gen_logits_fake)\n",
    "            g_error.backward()\n",
    "            G_solver.step()\n",
    "\n",
    "            if (iter_count % show_every == 0):\n",
    "                print('Iter: {}, D: {:.4}, G:{:.4}'.format(iter_count,d_total_error.item(),g_error.item()))\n",
    "                imgs_numpy = fake_images.data.cpu().numpy()\n",
    "                show_images(imgs_numpy[0:16])\n",
    "                plt.show()\n",
    "                print()\n",
    "            iter_count += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter: 0, D: 1.328, G:0.7202\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 250, D: 1.643, G:1.066\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 500, D: 1.305, G:1.013\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 750, D: 2.723, G:1.058\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1000, D: 1.2, G:1.046\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1250, D: 1.25, G:0.9194\n"
     ]
    },
    {
     "data": {
      "image/png": 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XXHGFJOkzn/mMpOrBQvbdB8Dw52ijEls8+O9QEkFyzoo0VVHJXJ4wl8mj9fr163PPcFM0PYNY8uUvf1lSIPz8+te/tplJWDs0tOPM/vCHP0gKzyXIm0cO8b/ziJsQNkmSHiCbLErs58zUfQN1zMqcNGmSJOmiiy6SJL3jHe+QFIjbnZGi6XW+iVz0eosGszaKn9GwFOdTbA6K5FkTtD1BW4O4INCPf/xjSaHEEI0bI6GfZVut0VwR+SWencrfQPW3ve1tFXtBYwEQhH24+OKLJXWkXUAdUBcrA1IGBIpjjz1WUvWu+b6tab300nqklu9Iy13SO8RmjjjiCItzcEa+KSAlezyXrKMrxJ+EsEmS9ADZZC1iiqbVdcZ3Rev7qJpvJ4mWJNKJL7ly5cpOR9+K1si9tLW1mX9L8238syIfstqeUqBOzpn7xKckp0tUF41Pu5xqJVv1zNbBPwU5Ro4caVMADjjgAEmB/MBegqw0HaC4gXs/6aSTrDyOfPv73//+inuqFRWOfUqK97FcvGwMwhYJpAciv5wDqMr/84SzI2uAtUR2g+8AzeXi6Qb1zg9CEsImSdKNpC6ErWd+TuwTxe9BsxYhbEtLi/lk2P6gAJ+Hr8S1YZTQdAyNVa1xdB76vPHe3Eh4vC/8DS1cNNqi2l4ywoJoKq1UaJEKi4eII0woIqXIjjvuaKVx9VgRo0aNKkshJ+zPYfr06dZK1c/QQfvTUBzU51x+97vfSeooI/QlhlglcXvQeqS5udlaBvl2q3nrk8Jz6kfKdEa4f54p/Pn47Fk3Fp3PLTNuhPuGfoklGN1/ysMmSfL/g2yyKLEfIoW2A5Uo5mb0BFopbgfip4Pjy8IcQfMSkfRF0q+//npNn7lIO5MvhKdbqw1LZyTO5fITC4Q1YF1AQvcDuHhfnz59zJLwhPWIWZPxYS+88EJJgWEFmt5zzz3mJ3uLgbP0yOtlwIAB9l587HpLyyhkx2/t37+/McVoQk/TA+TN8GHZO3jVWEJwntvb2wvXRHaA+ATFALQOgjeP9bF8+fLM8+AlIWySJD1AOoWw1ZgkICm+LJEyIqigJ6wg7PwHH3zQKiXItxKVxGfADyJKCXrDC63W2qRWDu/YY48tSyE/uinbpCClUslavbAWcp00rKbRHGsbN25c7rXyqlmIyKLZ84ZhFVkeTU1NOvrooyWFdq0I/lWtpmjNzc0ZVlot8feD9fTAAw9kBmTRkB1L4M1A2OhakkLEN54J7O8Z3jSsNdZOBRaWED+55qpVqzJn6ONECWGTJOkBssl8WO+T0roUPuWPfvQjSdIuu+wiKTCjWlpaMshN1Qj+AwwSmD2eW8rP5ubmwkh2NGW8QnM1NjaW42t0Jm9crzz88MPGw6WBG74ykVbyl7SdAVV8NPGAAw6wJu3+HolsvuUtb6m7zWn//v0tMu39qqLhWn505MSJE614v6sSj+j0iI7vx9msWbPmTUdYHwFub283K4L7YYTMnXfeKSm03fnFL34hKbSmRf72t79J6qhjBo399w8UXr58eULYJEm6u7zpTdiI6MICgi2Ez/LNb37TNBMaDD9v9OjRkoJd79HG587mzJmTiVbXahHj15g3tHpTCPWY5Fu5TyKi1F36v2MZgIJS1t8BrefMmaM31lI3wkqhjhPONFVHv/zlLyWFDhqezearqOoR8sqPPvoo9yopoFa5XM6cmR99UW/XkI15brkGlWPr1q2zfxN/odkaddDsA+NqYKf5wdvx8LDO5mE7ZRLzEFFAHdPkirrS+Y76JOkpVWtsbNQjjzwiKTj4ft5rrSRzNanV77W5ubmiNIuHMe4jVcs8JmEO3Q+qH9fYcsstrR8VXw7MKL4MBN4IANFeBBM6Lh5nLaQg+HxM4mqzdVBI3Gt8/pSWQZtE2fJa9p/JB12ZvYPwXMSNDKRKcg5nwpcZhTJ37tyNLq+r9/64Vr9+/ew+fNEJdEbO9rTTTpMUiCa0GOqMm5WCTkmS9ACpirA+ILMpJS+4syk1JFKrMHirrbYqS6ElCOkVJK+xG/eOucrf0byYTJh/8+fPN7OJkjzKzmg4B4ISnCPghlaPyefx9HQpmF6f/exnWWsGYYv2tl+/fmYp0cmSvYICiflGeSMpPLoYdqWRQJHklVv69W6KtE69wcW8fYNUQeqSM6pGja0lmNNco6hrYkLYJEm6kXQprbMxPmVeIcGbkUopEq+dJ02aVJYCfYx0E9POnnzyyUyqiNaYpJegCFJOhd8J0ePYY4+13rqQPUB09tI3OvNECyQmTvgGeHkFDvjoPlBEHCJO4IMcUD395DyIAlgHtJ+VQmAFX7ReqaeJH8EenjePPv45xafkHLpisXENUjFS8KE5w435HtSS5MMmSdIDZJM3EvdoWVTyRAuRefPm1UTWeumC9bSbKfJ/vPashvr+fmjzQusUEJlC9yeffNJQGdSiCJzrU+BAW9MiEkPedAM/ObBaWqcea+a73/2upEC586SSak0LitrMgpK+wMOvq6mpqXBfee3atWtzz7Ce6elIvVYd5AgapefdM/JmPqdIQtgkSbqRVEXYJEmS/HtJQtgkSbqRVK2bGjx4cFkKJXKQ72F0/OpXvzLfBKYOEUYKs6EX4odQfocfsM8++9gwJ3wPIo7kInkt1z788MMlBaYV0+/+9a9/ma9IwyvfuqYowggDiFwqrKu1a9dq3333tfVK2aggvhP+GW1QaQ2yzTbbWDSU35F/PfTQQyUFfwg/iPvGHyLXWyqVMr5jNTbXoEGDylKYqEbrUBqUjx8/3vb7O9/5jqRQTE6kmntiD2lvA1vt9NNPt+fgsssukyRdcsklkgIhHiH6PnXqVElhkBfDv0aNGmVrpXifOAjPhyf/NzU1leO9QjinIUOG2OeSW0bYZ59rZ+08D+PGjbMCdeIv3Dv7w8RD3yaWa8BMq0eSD5skSQ+Qqj4s2hnkIAIYj9Ejugo5ndfSOJoGarBUKO6lCCBuPwIaoylBbU+eRsNB0Efzjxs3Tp/73OckBRRGy5Fffemll3K1M5o2JtkjIGg871UKRQd33XWXpMC9rdZUHXYUheuwoTw6FEUc+/TpY6WLvo1NXh524MCBZSlofZhcRLLb29utMJxmazB4GKvIPYAwWFysL478YkmAUJRKcm+gJrlr/g56jh8/3gpDpk+fXrEXFPU/9NBDuQPNWBON5mmEIIUzjHK5kkIunXM48sgjJQUeMMy0WDhDLD4fcSYfnzdmVOp4zvk++IFqsMhWrVqVEDZJku4uVRG2d+/eZSnb+hE02muvvUzrokHxFdBkoDEVJaAhmrWlpcU0KCwokByNSuM2GrlR3E2lB0jb2NhovjOMG/i1vOe5557rFA91xx13LBw+7MXncpGGhoZCf9NLPewZr9HZB/yw1tZWW2P//v3LUkA01kIbljFjxti5cjb4o7SfxdLB7yVnzOc3Njbauvz4Cs+z9SM9PBoNHTrU9hGW0XXXXScpjMi49957c8+wqPC+vb29onm3FGIUfrDYphCaEDBQqx7xZYZxI71YEsImSdKNpK5qHbQTLSnRfE1NTeY3eNYN4x6+9a1vSQqRPjijVGDMmjXLIrQMgKIFih/BSF0hg5UpgkbTDx8+3KpaYBSBdlgFvvVGPUygIlYM1gR+2YQJEySFaHKesMYf/OAHfH7FWmtJU1OToW/RWMg4wjh06NCylOUH46fut99+1qbG1zSDflgroCP7zr6sX7++sL6Vc+fefGMBH/EeMWKEPSNE/KkGwr+bP39+1TMsYlXlSTxWNO/3FPPzc1NIXMBe9GylKHGSJD1A6ooS+3pENNjixYs1fvx4SaHV5je+8Q1J2QgakUVypzRju/zyyw2ZQGt8WeozibrOnj1bUvCpcu7XPpd75POje67Lh401HwOc8aHzIoex4IPjjzz33HOGbNHnSgpoRrTQdzPoyhDtWDvvueeeZSnkpUEpkPDvf/+7cZ6POeYYScHv9xFqLAry8VgtgwcPztTEgiC8xw8M49r4tuxDQ0ODWUXcK3/j2fH+XZEPS677Qx/6kPnM2267bcVrvLz73e+WFLppsKfvf//7bS10C+HzWAPn3pnKpaJsQBHCViVO+C/XRz/6UUnSNddcI6nDrCLoxE8WwcYQuOCByetxyxeTDWHTcN65BqYS5HQI2XS+X7FihX0+aYJ6ezSR2kAp0KN34sSJ1m+JzoB8BiYb81PZJzogEjwZMmSIPeSkBPhikmwnBcF0c9IwuB/1zA3KE3pEYfZ+/OMflxQIDgcffLD+/Oc/SwqBH76InAeBPAKHECZY77nnnms9kWmLQ6dL0js8O1dffbWkMIGANBxKesaMGfZFJY0HGNTbkoYvPPsvhUICJCokkBTcLdbI/+MZUb7IwhdBADg8F88884ykMIUvr1OiTxXW6gGdTOIkSbqRVDWJR48eXZaCxiKRfdZZZ0nqQOAibePnskCYIHBFWmGvvfayQmgCRmhu0hSE80FtNBnvgzr4pS99yRAK7UpAiPuq1dMW2h3aPG9/MG+5NiiCqe4DGXPnzjXCAveBG4AZhQUCskM48abj5ptvbgEjzPyoWzw/M0En3Ar2B2RbsGCBdV2ERACyUjzPPfA6glGkeUaNGmX3AOmBNBLmIdYalgWuE+4FZvndd9+tU089VVJAdggdnP9TTz1VdQIhaFXN8qhVXgfSxcGyWsEsaJ90TfTTG7ifadOm2WvZW1yGyZMnS5JuvPHGFHRKkqS7S11pHex4NATa8+WXX844y741KYhK68xrr71WUijgnjRpkmk70IXCafwOfBlQ+ec//7mkgASQM9asWWOOPvQ0kvxo67gF6BtrqtgAtGPsk/vJ8OwZGhf0YH8g/0PPHD9+vPnQEOtZP/4ve8C1sCoooM4TT1zHqojX2K9fv7IUEPqoo46SFFDooYcesrQZaO/n7YJ+UEfx6UHpV155xZABywGfnfgDZ8hPrs1MI9Zy5513mrWBP0x/ZCyvu+66q+oZ4vNC/4yRFgsK354Jc+wLVgVWE2e+0047Zcj/PtjkxQfBSIfFM3/x1+OWwW+8NyFskiTdXaqGpPwkdHwItGdM+aJ0CJ8FLQkKkjJAo+IbvPOd7zSNzTRyQvAgLWVfoDeICgke3+rnP/+5aTV80FpUP09c8NFuKSAYKODD+ayRNAKRXxp5xaVbRBAR9pY4AWvxKYG88L+PHHtKpBQQAivp4YcflhSi5s3NzZbiYV3sFffNnpx77rkV+4AMHTrULAci/hRfcA74rkTaKRwgRUL539ixY20P/HuxSmoJEes8H5a0H61oad0KwrFPCP+fO3euWRjIAw88IEn68Ic/nHsf/vMh/Jx//vlGxPDIWs3vlhLCJknSraSqD9vS0lLRhBrNGyffsflBmU9/+tOSpNtuu01SQDj8Tv5PRHX//fc334QoMdFXyNMgFtFJcopoSxBiwoQJRokEQfAzWYMvW6pF/u/du7dFBbEKDjvsMEmhrM7PYamnobS3XvBrQCYi8XlzZmqRKWL/hziEL7IHJbfeemtDc/aTsyQvy/76eAQ5y9NPP1177723pIAYzPkBJSlYP+mkkySFCW88PzQhmDp1qkWOfSM67rloVIcX7mGLLbawTAKZjokTJ0oKFghxB5CXcSQQQubPn2/WDe/he1Bve17aw44ePTpD6MEP5tlPPmySJD1AqvqwIKonuaMNPvKRj1jkC0bO9ddfLylocv6OdsHHhf526aWXmm9U1LAb/5j/g0IUG4NG8+fPt6gkfi5rKIrkId6X5f+zZs0ydhCRRY+sIBBoUQ+hH6YPqMY1GX+B78Q+cs0ddtjBGmTXIyA5JHzysZzHj3/8Y9tH0MRbCDREZ/+JXJO3nT59upXAYf3AbMIPPuCAAyQFH5p4CI0MKCwYMWKERaXZG56hesj8UigHpQi9XC5bzpiWPKzp9ttvlxSsOFrbwHiLrae42UJnBASOfWDPyKt7cn2X7iBJkiT/J1LXfFjafoC0+JojRowwZGWcIvNOse+/9rWvSQo5NMY+MGZx9erVmQZk2PWgNZ9H8zd8E3J/MH/Gjh1rKEG+D3RG069evTrX//ET5ONxGKA118gbKCUFv4j8a57W9GR/7h0UIfeMNkgD2gwAACAASURBVM6LbvuyOq4ZtX2xNXKG+MjEDoj0v+Utb7H95DOJ8HN90A/OMZYE5/Ld737XIrjku4k38DzQzob74GzJN7NXvXr1sly4HyrG/59//vncM/TFCbCHli1bltkz7tNHabkG55InvmG5n1+MeN8Wy6Vv376ZaHCtsahIQtgkSbqRVPVhqSyJOJySQrndmDFjTBPBFMFXxN9Ae8MxpVULUbvf/va3Gf4xKEOUmAgiGo18I9oRTfbqq68aUqJRYf+AGl58fpP7Jrc2c+bMmsOOQHEYMPifWBGPPvqorQE/mD0EDfDbQJdq4x6K+Nt5OTz2EB+T88LHfPbZZ02r0wLUWzycHb8Hhfg5ZcoUi/7iK3Mt1gvDiNZA3EfcvpXPBI05b9hgVL944b28nmfgiCOOsL/zrOC7+rwrKFkNWXmtt5z4vbe8yDnDo8eq2rBhg7H22I96JSFskiTdSKr6sLQApaaUaCgoNHfuXPM3yeXBdCH6RlQStgoozeubm5stSgl3lNGM1Lniw5AXpIEWvlWMkmjsSZMmSQq1m/gsCxYsqCuHV0+bETQ590UEFC1NTrp///42dJl8JOL3H+YN1Sx+3GQsvtY3qtfMNBLn7EBn/G4QXgpnBGJxljQ/Jw/K60DTAQMG2Po4Q/btjjvukBRaplKFRFTWt9NpaWmxPSF7QIUR5xw3mXtjTRW5Zm+dLFq0yM6fLAIRaKxHnjX2sNq5e0uG+4XFR6wFn5XIOUj81re+1faOa/msQJEP26meTghh83/84x+2SRw8hdeYA9DEDj74YEkhuELwY+rUqWZGE7ggYOFNHR5MkvH0ReKhnjx5sj3wFA3TJZCDmT17dl1f2HpSM/Rn4vBvvfVWScqY5e3t7Wa2FxUoU0KGEsLM9p/f2clnnCECqZ2Hqbm52QJ0PCzcP0G0Qw45RFLHnFspnANn/5e//MUmzF944YWSgntA0wHMWeia0Ep9B4phw4aZwqOMkfQMRf5Lly6t6wzZ/7vuusvSOjyXBCwJZEECqafhAc8G5w3geJMZtw+Fx8999tnHnnleSzrptNNOk5SCTkmS9AipirC77LJLWcpOskYDT5gwwTQ1IX80KNoH8xVNCsKgRdvb2y20j3bBXEODU/6F6Yk2Bmkxs1566SX7PIIIpB4IXPziF7+oay4L0tzcnOn4h6CVIYHzOsyuWNgnX0YHknJtip5B3DzTrAj980zi/fbbryyF4J+/3nbbbWfantdwHfYSmimmHQFGznTZsmWGvqAiLgnzbgm4QEmkoAMyDnvX1tZW2DOYooAnn3yy4gzXrVtXlorJMeedd57OP//8irWBsFhg3AeEks4I1yRI6xsM8NziHo4fP97KPovI/glhkyTpAVKXDwuh/owzzpAU0GLHHXc09MXPoFQOvwgbHeIEpVr4I0888YQ1VUM7e0IAPiqOOk3OcO7xIXv37m1ozDVIEUHYKGoRc/rpp0sKaF3Nh0WjYgEQoieFQeCL191yyy12PdZKky+E1BE/v/nNb0oKAZdqwj5FU+ZK0d/KUmhoR1oNNF2/fr3tGevhJ0EmkAvUhz4JksRlb/iuP/rRjyrukcZ9nBmoTWCJdccWDULKCxR8+umnO9X5f+3atUar9GkbPz2hnk6HBLDYt7wp8lJo9MDrKPg/9thjM2WWSJ6VVPH3mneXJEmSfxupirB9+/YtS0EL4RcSaXzb295mxeYk6CnMBUnRXGhQfChQ8l3vepdFEn0HffwJT9wA6Sma5nXNzc0WHea+oKfxGTFtT6pdXheLT/UQLYcOiT+EBcLfx44da+iEgFqQQHyHfP7uCyKkLNnDt7CJtTMtYkB9Ipl8Xjy9gbMigk/C3xfVgzA//elP7Vp8NmQK7onJD5Sr4btR/MH649lDnswAcQN0/Ne//lXXGbKHV1xxhVlQUfmafZ67lqSsxTVo0CB7L0IMg0gzmRKsJ74TZDOwQt/znvfYvCisMy/Jh02SpAdIVWqiL+3iJxr3j3/8o/k7jzzyiKSgFUFaCoaJiuIPo1k///nPW7KdhlhoW7QPmpVcLpoflIjnx4K23DuRRqwCL97/wIcgF/ziiy8Wts8E4aEg0tKGKDFrjtEVdIRoz2soWQOt/QTweIYR0UhflJAnWBggIJHKT33qU5I6Yg68n9dgjVDYgeXAPfN39nj58uWGZhSBcM6e6okQr8BKAL0aGxvNouJzoXVy7vUKkegzzzwzg44eWbkPshwgK+V4McGDZwULg3w1Fhhn7GfRshfNzc01yz2LJCFskiTdSOqarYPGINqFtt9yyy1NK2OTk49lDg8kd6LGjHAAhS666CKLIBNhxP/hc8jTQjDHp8FXYA0TJkyw5l5Q3/zM2aLpdUWNpRsbG+1vWBGsAaI+7VFY+8knn1xxX3nXp6D77LPPliSbUUQ+k8bjRJ55X3Nzs6FTEXE89n+GDBlSlgLSegre5MmTM21FYeSwd0Q9KTbHagGlhgwZYiWY+HVYQ/jFFOjTehQrgeeEz9piiy3sOYP1BdJGaJx7hkVzatra2uouPqfsj+g8fvvSpUvtPGm7CrL6kkIsFiww9pr9mzBhQqaME4nQOfmwSZJ0d6mrRQyNmdEsyIYNG0xT0gQ8buotBb4t7CV8M1DinnvusfaPXB90pO3ptGnTJAUWEH4q6A56PP3008ZRRUtT5oWfWyREpslTxsIaKftCyP/Cn+Yn7U7JSbe1tRU2lUY7E1kmsghZHk2MP79+/XpDY3xJIu55ggYn6gmicz99+/a1WAB5Q6LbIC++43HHHScp+Ow8H1tttZU1ToMNRfECOVQQFLQhEs1nY00tWLDAij1gSZGT9px2L0UTADvT2gXfnp+xcHYgK2vDv8VqYi3+fmHbbdiwwfbuS1/6kqTgb9dq6JYQNkmSbiRVEZZcGZFeIsJoDni6UmAygUbwfOFsov2INILAo0ePtugZ/ieaCxYMUWlQCWTzjay23357Q2n8YO6LiKcX1pSHrFKHNoRpRQ6RptdUptCkjWsRPaTK5cEHH8xMpPe+KX4Phd5UehAhhak1cOBAYxF5/zyvvSpjNBm+RDUKKDR37ly7NtYROVOuRxMAPg9f/ROf+ISkDuuJuAJ+GnuAtUGZHVYBEVWeA86rsbFRs2bNkhQqfGr57EXF4Fh1pVJJd999t6SAjp2VFStW2DOMj0/0H+uCHDT75PPJRKD/+te/ZqLUfuxKkSSETZKkG0nVKHFzc3NuJQsavVQqmUag9QYRRLQRvmRUmFvxc5tttqmY6C4F7Ys2xs9BG6OdiCpTDTF9+nTjrMJxBn3xg6dNm9apethSqWQoiA/CtfHTGECNdXHjjTdKCtbFl7/8ZdsfX+OJ/0Nzcqa84+MQeYS59ba3vc1acPpzAZ0feeQRW6M/Q9AS9BwwYIAxdKikoXDd55M9ay1GEF9Ty9AzrAH8URrK81yALOzxeeedZzlQ8u88K+znHXfc0WW2Wq1a4qLXl0oli8dQqJ5XqyyF/SnynVeuXGnPipeokD1FiZMk6e5SFWEHDBhQwUNFK6CtV69ebRob/4fr+YHOaFA/oqC1tdVsf1AGfxNfCaF1zGWXXSYpIAD5rn79+hmTBxTEjwEBfHsRKpKqRedYAzxlIrtEoIkOE9UmUs29jB492vwsONZEdsnZ4luCODCePEtGCj4+VTJodtYQ52GPP/74siTzCzknzu2f//yn+Z9EponaY9mwz9wbZ8dZPvjgg3YPrBPUhimEEMPA32R91MAuXbo0EyUmx4+VsWzZsoozxIqo1izPj4b8/ve/z/4ofi+xBcaRcC/XXXddJpfuq3YQnxHIq/xiNAjPKUysWtU6Vb+wJN0J3GCKAdtDhgzJmLOeXMEGcTB8OfkSNDc3m9lHUp/DJmjDYnjIScrzxeYhXLVqlW08DwBfGn7/hz/8oWIj6NvrH/r4cHhwOfR6Z6nEggkMUYD7gWjAfWKW4g7wRfZ0N3+PscRf2HHjxpWl7BRzlM9DDz1kpiZEFEoSeZiYtcsXm79TIjdq1CgrameiAYqJeTzsnSfUEGjkeWlra7N1kU7CzeKe77///qomcRGxX1Jhby2ey7hfmVQ9HehdtSJhv1A4eW1+SCPRx3vkyJHJJE6SpLtLVYQdOXJkWQpmDLNU0PbDhw837Yd5gEYCcUHWuA+uFJLMd9xxh2kogje8hnQKWs83tUJLc1/t7e2mKaGUkXohNfXKK6/kIixST1DCd37vjNTT3K2zr0fTcz8xrW348OFlKSCYT4ntvvvuhqTQCyFrkPoB5TGZOS+IJBBdpEC+ADl9oNB33iSgxf20t7dnTFsQimdqyZIluQhblN56+OGH9b73vU9SCFBi1XnB7cNSxHTHYovX0tkAVjXxVkEqr0uSpAdIVYQ9+OCDy1LwIdCW0Atnz56dmStCMAO/CJ8MzQEa4ruNHj3aAhNobIgSoCIozb3iN4MoXLtPnz6mnWONLQXN6VtkgrA0QyPxT2An3h98d6iQoDhogeVBsIRrlUolHX300ZJk7UCxDoq62W+MxNp5t912K0vBR8Y6wbecM2dOZkoChAjQj1QMLU7Yf+bmHH300Wb9MEmQtqIQKOLO/lJFgExSsMwaGxvtXEFKXoMFMG/evIozfP7558tS8HF5Pn3pXnwfXJPUEZYZATZiCLEfjGVF0z0azXkq5KaQhLBJkvQAqYqw/fv3L0shNYJPiZYslUrmP+Eb4e8QZcP/wGegnQbRyt69e1tDMD4HfxhkB3GJshFFRtNDRpg/f77dT1wsLAW08Alp/B/eB8pA18uTY445RlJIoGNdeN8L8sBJJ51kiFJUAlatvM//vqi9Kfexbt26TJSY9jp8Lvfat29fs5JANCweaIUUf0Ds53woL3zsscfsTLg+98RPXxLpm85x9q2trZk2qzxbvHbx4sW5VlJnfEosDN/Ct6jtaBzZxRrDwvJnV5RFyCPj8F5IOVBrE8ImSdIDpCrCJkmS5N9LEsImSdKNpGp5HbQ9P+Eb5tNrr72WaRvpbXPe6wctYc9vvfXWlhvzU7K5Fnlgcnv4rhR7ww4pl8vmC+H3IBGTqS7/h/fj08br95FN/A+YP9wfPte2225rlDei1TSS9sO6eB2+N9P3KAoolUq2T3Fjtvi+Yv+HXDr0SVrP4CvddNNNll+FpgflEnYWjCPau0DX+8lPfiKpo40nDdKJrtIoHpZUFKWXFEoS2QdasgwbNszWRxwh8s0lZWl7nCENDmjlwzTBE0880fKpZDo4G3K3ZC2ge/KZPIPTpk2znH7ckjUW9pHYBvEbikFoPLBhwwaL9UBB9TNmE/k/SZIeIFV9WN/cCokjnKAMBQJofTQIeS40COInb0tZ9PVtRblX8mxE6Xjd/vvvbwUDXAvGSlHZEgUOrCmPbM97uQ/+dsopp0gKs3BBAHiqFKvHgrXA/pCX9nNC/QCuOBcJwpEfRUCLuMBh2LBhZfZGCuMWQbr29nYrWCcKj9VE2x/2l6g37WbI127YsMH2m2sRSWdECHxvrA/ftJzPOOGEEywHTksanj8Q7Oabb84t4ADFiXbHTDT2m7Xx/NEOB146zzOZB6LIDQ0NtkZeQzEEa4gj3VK2VS1n+YUvfMGGxbEvWHTkgxcuXJgQNkmS7i51FbCj4UAW8lBr1qzJsI3QQj4/izZCYhZLETfT+wieK+orbKQsz9cPOfLtI7EiaJh20EEHVazj+OOPN2RhH3yLSl+wTHtOtHPefXluLVo40rCqV2CE0aoktiIGDhxYlsIQLlrFcj/Tp0+39yFxNZYUcuqgkUfipqamGN0lZauzeA6If5CPj8rJJHXsIXsCd5h2Q3feeafeWEvFGY4ZM6Ycv94zo/75z3/aswsKcz+cFbEDP0gbi3HNmjWZli/+mef/vv2Nz9OXSqXMuvGh2dsVK1YkhE2SpLtLVYT1EVRQ0nM8Ky4Y8Xql7BAsj5rxNWohLb8vYgs1NjZmIng+au0jjL6ROOwa/JJq9wETC7+UShWim4yngE8rBZaQr1LxUsR82mmnnQy5vcZH4ihxS0tL+Y2fkmRVK0Sf+/fvb+/37LBLLrmk4ictaPC/8PNiVhj7R+yCdfjzB3X8iJRJkyYZklK9RXYAq2PVqlVVG4nzPmpyY5aSR0OyADynOYXkkirPoWjf631OS6WSvRZLxw8rS1HiJEl6gFRFWIYB+zGLcRQX34W2IkQh676BnOr7rkpjY6NpM+9ncp9+oDNWBHxmeMtxNwGioVQg0Ujba1RyiiAvFSxHHXWUDUHGz0I2prbWrzHKz9oa3/GOd5Sl4EuSm8Rnevzxx61KCv8OXxUEBXVo4UN0+sgjj5TU0YDv/PPPl5Tl01KV5FvC8Czl5ZJ5DZFdIv3sUcyVlsIZwnmmHU4caWf95KMffPBB5UmRZVPtOd2Y+lj8dW95er60fVY9X1g6/uEQe3Mh76ZrLWJjFskXg4cg71qe3EDQyZOqMadOPPFESaHAATM2j8iNAiNlAVmAgAWpJVrq3H///UZ+92WImN5FU7yr9SlC/JzSeI2bbbZZWQrtd0iV0HP6oIMOMmWGkuKLSjALExzFRdkgX7bJkyfbftGriKL2U089VVIoJKDvFUQJphzyTD333HOZAgKIKVzDf2EJrB1++OGSQgljNJE+t4gifo03W+t9jquJD3AVFRZIQTnxLKUJ7EmS9ACpK62DlidQQeFu3syYWkEUJA4GFZWL+R7G/nVMkWNezA477GDlW6Ad5lRkHlVort69e5elCnNLUrZfbixeK4P4pEdAEdBszz33tNkpFL/TDIyCb1InCCiOiQ6lsH///hkyCK8lGBinriBOsKcQBOhCv2zZMkNWrktqC/MZsx2SB3vEebS2thpNlOl7uA28BmuIDoiYqJS5Yc5+/OMfN5Ob37F2TPJLL7204gwHDx5cloLpjtVCG6Lnn38+t7leLD5lx976joix1Iu+/jk94ogjrF8zZafsTzRTNiFskiTdXeqiJmKLk4ogob5s2bJMF3jfooWWG76dCuH/1157zVIdFEHjg0B4h+KHL4CWRjvhuwwcONCmuNP0DSSLAmW5Pix/p80IhHcI/VLwFUEpLA6CNKwDVMTXw3+VAgpABKd1DCkgglMQyKP7lFTpaxUFA+MCB2h7IAh7S5AN7S+FtjjcI/NiIeoTD2AeLlPlvv71r9s90IKGoA4oifA6zhoflmDl8uXLja7HXCBasvA83HPPPblnyPPgUzMrV660z4U+yLPMa4444ghJoXAAlMZS456kEOe44oorJAVrgvlMNAtgr/kO0IN6+fLl1lubNeGfR/26E8ImSdLdpS6ERXPnNU5GY9HkC21CaB2tDNJ95jOfkRR8tmnTpln6gxmtaC6afDGnlOglP/HDKAO7/fbbLUzum2xFVMmqxAkfnW1vbzd/FpI/iXkoi9wnglamhO2AAw6w62MNMJEc3wUExD+kVAyrgp+rVq2q2WYm9n88cYJ9ACWamprMQsB3xb/DlwR9iPgy2QAr5L777rOzIL1DY2zWx3lgnZD6AmmIAzzyyCO2Ds6A7ERE1Mg9Q86OZzCmd2IVMo+V/cSiwSriXLCKfvazn0nqKHhg7zhXrCQmDHKfrIXPxDLj3J5++mn7TvGsgOh87uzZsxPCJknS3aWuPKzX5OQQX3/9ddMUREbxg/A7mTCHHwIFi4jmXnvtZTk78nr4EeTfyC8yVY2Cd0rG0HSDBw82jc4sVz8qxOfwiiafQQo4/PDDzRdhAh7JdxAAcjrUPXw+cpNtbW2GDlgn7Dv+lm9YzVQ7ip/xl6dMmWKzVn1jt4i0YGuEVBDHHaQwA+f222+3HDRIe91110kK82VALCK6+OYU3y9YsMAiydA08efJRRNxxpq66KKLJIXzufzyyyVJ11xzjfnzXBOrCb/Tkwrw072fj8X22c9+VldffbWkYBVBFqHog3OBdsk1QM23vvWtZukROaZgg72lDSxliRQU4OPy3dh5553NamNuL2sleu6tCCQhbJIk3Ujq8mHRgkTa8BVuu+02m5GKJvIF7WhhmDagZFzgDF2P9pr4w9dff72kgAYIPg4tOECECy64wHwkT5ErahFTVKTP+5YuXWo+C+iANkYbcn/cL5PRaJOSJ+RjsSbwAX0pIxF69uiII44whPOSt0Z82KJRKq+++qpZEFglfrwGrKQTTjhBUvBPySFLwdrg2eB88VF5HkAl/Et8eiyJXXfd1Z4Rnk0QDX/PIyxnCErhr/P6Z599VqeddpqtVwo5WqLZDFoDRSnkoFj/sMMOs8g9+4VQMogVyR7zDPE8Y4mddtpp9lo/5KzoOUUSwiZJ0o2kLoT1pVBxhAufCF+F6CavIbJI4TR+HaygeHAR0TWQFn+IfCBaD+YLBQdxG5VqYyPfeE3VCOOnP/1pSQEJ3vve9xrC0DCL3Cxrxy/CDyXHmCdEGhGQBfYY6IDfztqxYP70pz9ZRDNag63fr5H1EanEv2YNn/zkJ+3f+F7kP33enagx8QoizYsXL7Z9xtoAORhFQokcFgOfSd6c/f7whz9svl9cPC6FiL8ft+KbwYNWcV4cji6D1s444wxJgfuMf8n9Y6lhAbD/UkByxpFgLZBL5RrcNzGfONbgS1SrnWEsCWGTJOlGUrXNKcwRtAG5M6KFvXv3thaj5ELRIkQYiYJis5NjhRkVl5WhZe+++25JlU2rpIBoRPjy0NT7rJ4N5AVtCbqTL4aBNGDAAIvQUvzNNale4b5gc1UTtC6fh68XTYiXFKKHaG8074EHHpixGvKGPSMgN3k+9hK/f/ny5Zb7g5XEZ4JY5NrJnZOHJZe5aNEi40qzV0R6aU0Dj5ZxHwxJAzXZ0xdeeMEQlmeDAd7EQbzwDLJGLB6is1OmTDEk9bl88rJYE3wmCMx5xMJrKJD3jQc5ByxBrBtiGs3NzZkid/YUy6pIEsImSdKNpCrCku+kmRWo+Nxzz0nqQDE0KxqDiBjRQXxD8rIgHdfcdtttLQ+LhsK/wc9FY6HhH3/88YprIe3t7Yasnv/sm8AhoBU+DhoPVtOMGTMs6ov/Q8QRHwbUQisjcRsS3+6ViDPa1/trV155paTgw4LesGria/kKk1iwikBDUBPu7mOPPWYIhu9N3hOEgjNMZBl/jzz4HnvsYcX95DtBIZCNfcUaYc9oXUquN+b9+rxmUW3wV77yFUnByoMPTnzgjjvusP3E74b3y+cicVWUFBq877nnnuajYpWR/2ffPEOLGAxnxt63trZa5oWz45kmQl4kVb+wiJ+VGZuZBGIQNhuzypOqIZ1jzj3wwAO2UAIibBKd5nkt5gJ0MV8QPHr0aLsf3/fYT+VGeJ03MznIzTff3D43TmdJwZzii8oXmQecLxBfVikcMgqM9A57jKI55JBDJAWqHymUBQsWmAlLCqJajy0eQP7Gg4Jb0adPH0vn8CDy5eYzKXZHceG6sGdjx461NXJmuBQoSlJjkGH4UvHlJ6hz6623WlCLL7/vyl8kkO45J0z5NWvWmLLlTPiCMJmA9CN9lSnlA0ziIgm+kBT4Qw6KuvZL6ug0Er+ev59zzjl2PQJSfOmZulAkySROkqQbSdW0Tp8+fcpStg8w75k4caIVNYNsmBJoZYIqaEuCDgS0Zs2aZSgHeQA0RuOjvdFo0Ny4VnxfHnXjmZxStrxu8803r+hp6+Wqq64ywgCalMIGTEfQEfI8CMS+9evXz9YIomJFkEzn89GwBFAwIdHSU6dOtRQJ7oc/wzglcMwxx5Ql6cc//rGkLPnlwgsvNNMXaiIBMdI70DRJwUAmwKx88cUXLeUDopIKgkbJejk75vLQfoZpBjfccIOlAunWyD2DRosWLao4w0GDBpWlbLMCzPAZM2YYUkL0wToicMhZQv5nPbgOixYtyqQKQWlMcYSz47kg1cnzvGzZsgxRxwehUtfEJEl6gNRFnMAXAKXQZHEnOfxaCPJoVkLxhLShhIE4W221laUAzj33XElBE6HJQAc0OuSLau07EDQnSFVETeSzmVDGurbaaiujs5GaIv3BGkiuf/7zn5cU/M+4py0+G6hFGB9fCd8eNLnmmmskBd8OhD3uuOMywS1PHY3L6yjgAMkgxBNj6NWrl+0NQTTavPB7UnFYA6yf4GNra6v5hiAsFhY0RogIrNt/JsHBAw880NJ6PFNYXhTOX3fddblnCCWQfYinLHCeBMF4liiyIBVEfALaaxzY5HkkDkHKimIQAoecGY0WSNEhLS0tmUmIBKgIEsadL2NJCJskSTeSTjVhA2HzCqgJz5MOQTsS8cMvJWFN5HXatGnmv5Am4HPQeqRA+Hs1goLv1etbsnrKl59u4Nc4cuTITGrknHPOkRTm0xLhoxga/42o6tixYzPlcxdffLGkMJMVvwftDMqBZviP/fv3t/fgj1WjX9KgjD3zc3MGDx5sqSTI7TQZINoN+oEYoCOI26dPn0zBAH4wpXtYMPj1UFXxEfHhe/XqZZFbCPlQUEmPLFmypOIMe/XqVZYCGuYVcmCFMFUAqwgS0MSJEyWFdCTWW9w3mevi3+K74nPjl7O2H/zgB5LymwgS6+FzsCp5ThPCJknSA6SuAnY/ER2UWLhwYWaSNRrUt1xBs6OtQeCmpibTdmgkcoTkASksQIPW8LtzXxPR96o2YfMzaJcsWWJldCApfhkaH6QDgUAqIsKLFi2y/QC1aMcKgYAcNP4yEXAio+zN+eefbzGFogl3eY3EPYEEa+C2226zdqy0vgEhKLZA6xOHIGoP+sSWFgQK1gexBp+ciDuWFs8FFsScOXMy7Vo4E+IRCxYsqKuAnb1bu3atPae0tXn00Ucr9sw/v3nPGM8Q5Y1YOnweVgZZAlCTa2PlbNiwobDxft70hlgSwiZJ0o2kKsKiuXyj6lhADrSJf02tJssf+9jHDGX4HCiKRFbRWLWu1djYmCkA93lZHyXGivBtVtDIp2Ox/gAAHRdJREFUgwcPtsgq9DbysCAqvgzNof1Ik4kTJ5oPS7SUqC35QHwpfCiYOUQYaR963XXX6QMf+ICkyqlx8efFUWJ8WJAsipZL6oiKE6Ek3wpS4F+BRvi2WBqcR69eveyz8c3wwcm3k4skd0m0HATmvvbff3/za8kOeB9w7dq1uWfoZ9TGhSDcX9RG1P4WS7XRMhS0ULBOhBtLEIuL6DRoDtsMGTRoUKZxffw5UmokniRJj5C65sPCb0Wwxfv06VMTUYtGI8StREAzGmDxWl7jp5ZX04J8XjRns+I9RXlYLAT/+r59+9rvYOv46ekgLPeN/4aF8MADD5jVAPpS5Az/mEgj0VLu/5Of/KSkwJNdu3at+XggPYT2vPYiffv2LUvSKaecIin4itzreeedZxFdcsJ+sjz+PJYOaEnp5Jo1a8zPB8EQorLkbEFWLAzWQGHHwoULzQ8mr0pDA85o9erVuT4szC8I9ESZ88oua80g9tLY2JjxkbHKIPXzveD/PLdR9N7Wwd7Ck+Z8uaafsogkhE2SpBtJVYQdMmRIWcqOPsgrc6rXFwA10STNzc0W9QSt+Rufx+fnTcP29+A5maBDVAhecaP9+vUrS9nGY3nroICdskM4vSAtSIXvgl82Y8YMa+uJz0rZ3Le//e2KzyPHCzLh++JnfvSjH7VrsT85vpst4n3ve19ZClUnSNxGhf3EbwbJ8LdBASLNfB77MWfOHPNzKYmDMeSrUcjTw17CL4yZYFSywDZC2M+FCxdWHNL48ePLUigo9zGXroyK9Ijb0NBgiM8+wNqC8QTXHYuUyL6XpqYm23+eU+ISWAWpCVuSJD1AutRI3N4cIZr3VYt8Al5HC8qLLrrI2kZS8cNPkLWoBYr//R577JGJ1CFU0sycObOuRuJF640/Fz/TVzP50Zpnnnmm8Z9BcvxeUA1tzO+pnMEigQk1adIka8NCHhSBx/3Vr341wyXmHIjich8DBgww35R7obkAZ4QPz7rw1Vj35ptvbujHmTHUGt8VnjX5ZRhQ22+/fcXvzznnHKvsApVBTHK5n/jEJyrOkFau7Afn4vdH6vzgcc76L3/5i30+/jb7Ax+ZfDyRfc4MnxZk3nfffS1y7CfQ0zrn0EMPTQibJEl3l7rysKAmmgLNGrdkKUJaBK03duxYScHve+aZZ8x+J6+FjwT/FASgSwMNvbyv27t3b0Nbr12jqv/cCCP3CwKhDcvlsvl0HrVrSbwX+OlUvuDnMhYTPjVaHD+IGlwak7W3t1t1CBU+PnoZr/H4448vSyEaG49NlDoQkREj5IJhnlFxRasezoyoNJHvSZMmWY6WKDCWAR0c8FnJM8Ou4mzhac+fP99GUHIGMKzgo/uBZgzl9tF8Yg3xs+hjHEUDxXgGed2qVausSgdriWeMSD+dO8gSwObiLOM4CVaDb6UDy6/Ih63aIoYvGT/5wHiKHQ+LD3zwkBNUIdkMsZsHuK2tzQJCbB6HD6GCVAcBG67t6Y78jO+R13hCuBf+zjrYyPXr19vB+Ml2iA9UEehiv/bZZx8zEek0z5cBIjlfSO6DuaFcgxYmpVLJAkjcD18k9iUWvqgEyCgmwOS++OKLLVhGMwIKM/g/ASXOjn3m76VSyfaL4nZcE1rcQPJAYfNcUOCB+bt27VorqqDYgy/zrrvumlmflP1yUdJJeyJI+VKWZst7MNkx92m8wHPb0tJi1yX4hPKhAyU9mLlvilbYT56bhoaGTM9iSCrQfoskmcRJknQjqau8DhK7b6PSu3fvDKkBrQ9K0jiL1iBolnjGC2QCtBlhfYIPmF5oOLQg5ANMHylr6mCiYVatWLEi1yQm2U4qAxk2bJhpf4jzIK5HWsgDmHk//OEPJXW0IWGfMXkx71kD+8TruDaoGc/k9UX57AfIHrcX2W677SrMRd80b7fddjP0xpREIDewpyAc5Ybc27x58+z8Ma8JNnHf3CPpKRAFEzR+tvwZUgwP9dPP1tl6660rOv/7M4wJPr6RIGiIhYObQYEDLsnChQvNssFKwXylOyPnwrPGNbEA4ueUZ5o2MvSPpknCqlWrUtApSZLuLlURltIstBPoyc/Vq1dnwtKgkKevoTWZx0mC/R3veIcFXPB/CELRb7YoNeQDBo2NjfY7rAI+P3LyKzTXQQcdVJZCe07SP/h+q1evzrTBYc00LyMIwdpBlTiAgU9EixzQEfTgmr4ssWhiQTWJg0677757WQrBND6fFinPPvtsxhoh+Md6vvjFL0rqaAAX/x+03H777Y3M4YvgCdR4C8yTYPDllixZkqGV+gITH3R6+9vfXtEGh2AP9/fkk0+aH8x90F6VckcKH9gDUDN+Nmn9QzyCaxBUAkm9f+ot0379+lkcAMsOK4f9SeV1SZL0AKmLOIEGARVigoAnNvNaNBpaGg2Pb0CUuLGx0TRpXPAtBT/Oa6FqJA2Q3Lc3jZpe5RInirRhvEYEX5X7xBKAokaknCjlzJkzbY1Q8IgoxpMA433zaSnW1atXr8y8F+IBWBPxGseMGVOWAuqQkiFqPGzYMDtXUI/ILakXLAhagnIu+JT33HOPRbtBNeISkDDwL9lLPyeH6OiyZcsyRQc+TjJv3rzcNj8U3HPt2CLyzznPI/vNfbMXICAo+uKLL9qzzPkT/WVNkF9ocOCpvHkkDV8swVrT9LokSXqAVEXYJEmS/HtJQtgkSbqRVGU61SLGx+T/rkpzc3MuSbseKaKXVRPvGxAJp5k5eTAaks2fP9/anECNw//Dp/FlV+QiiYifeeaZloODKE6bUyKu+LhESMmJEqHnM9va2jIxBU/oj/OwnKH3+/Ephw4dakyzooFhfsauv9Yee+xhOUqeB0/AZ6+8/w2tj7EccTvRIt+viF5KDIT3Ueg/Z84cW4OPERCVJS9KOaMn7I8aNcrWDamfqDCf559D4jTkZykaaG5utmt5ZiA+bGoRkyRJD5C6xk0WST3oWqt8qSvo6snuSJzfqle4L5hYRFqJjJZKJYsGo50RRidC5GcSuL/2RRddZPcMcvpm6H4fQE+0OWvdcccdrbE2OU9YQyBMnvhIN2i8Zs0aQ2g4xXwmWp/INpFfnxuOp4aDHP68PbJiJcDHRW666SaLRiO+FM6Lz12zdzCRpOL5wESHifzCBAPl+ey5c+fa57DPtK6htZF/LrFY4FFzBoMGDYpbwUgK+8MaiiQhbJIk3UjqGobVk8T7P/ClfcM3fJhtttnGRkB6Hw4/DY0KKwYuKdfq1auXvSZqJCYp6wf5EjZfDN/e3p5p+oX/TZ76r3/9q62RHKVnh4EGAwcONKvCS1EheFdiBxvz3hx2VG4e1l+b922xxRbGB/cjI/nJ2RKPYM0xy8+XxHFm7BPXrqflr/fT+Vze4xl5tta8XyZJkuTfUxLCvoGwII6vTOrbt69pbB/JpZIDLY1fRgEz79uwYUPFEGwpjHvIGcZccU20dlzziS8NO4j3gJQx19afYbX2KdF7Kn4iRc3vNqXU05K0iK0GonoLpFQqZdrYsg+8Fh+SaDF+PJ8dWwQUm8Mp9uJR3K+nsbHRkJVIskftxHRKkqQHyP85wm6KXG5nxGuuQYMGVVQkoXmJnC5cuNCqV2jnQu7Qa1JfrYH2Puywwyyii/AefFZaqNCpAW4z/nOe78fv/LCuvDys75YRa3+uQ22uHwFSS96sMyxCKO/Dkof1/j7S1tZmuXTOxscIfM6X8487adAlw1saPjJeZDXlCXvvc91+aBtSV1qnKOldTYp6O/lrtrW1ZcyzWp3t6LRHgXA1qZVW4v5oZcJMV4jvX/nKV2yuDYR9P8UPYj3CA89n77fffqYQ+IJC9mfWDNdgTSgJzG7Mr7Vr12aK3Kut0aeTKCyPzwUl4L+otQJEtfa2mmAKVkvDcY8EZIrmAnvlx0PPnr788stGWsA05j1MC0Ch+c6QmL8TJ060ljg0KOC5pdsk1+Csca+4Vvw8szZfPFPL7UgmcZIk3Ug6ZRLHM1M7K16DoZ322msvo7WhSSEC8J64PUosvpQv7qheb8CiT58+FV0T6dTIZLqXXnopM0vFTyrAfP30pz8tKaAn9zJz5kwjX6DRKZgmFcQe0NALKiKmMo3EJk2aZJPPMWEhNEQT0TJpHfaByXAUsndGQCeuVa243vdoLkJp+jDTmmWLLbYwqiQuBZ8bTTGs2jWRti8+vRZf06e3aPtCaSGuEej4t7/9TZdffrmkyqkJUjhTpu3x/fDuB8/80KFDLajJM88zHllPKeiUJEl3lzc96ARK4rOChtDPZs6caS036euKL4UjTjsZGpVBpMeHRFu1tbUZUhalL7x27t+/f1kKWhjSP6mZNWvWZPrK8lruD0I/zclodUMh8y233GLvBSlpSXPyySdLCqiNdcE16dEL3a6xsdHWRJEBRQm0Y7nnnnsKyf8I+xOjD40C8HN5NkB5iPGgTl6/Zt7z0ksvSQpnRFd85t9ABQVh4omAnK+nSkafkUuc4FnD74dm2NbWlpkPyx4SjMJq4fmhez9nefbZZ5uvCpJSKIL1xKwd2s4Q8/DoGZ8Ffi7ny34sW7YsIWySJN1dNhnC+vaRvks+mgzfjPaOO++8szXXRsPjE4BYNJ9GK/J7PhMtDgJUE6+de/XqVbHGSMPxekMS7gOCAveBliTsT9qH9SxYsMD8MvYBP4eoMNcEWSHUU4QQN00nfYQ/xn1EXeozCFvU8F0KyMS97bbbbpKku+++W1JAfywhLB0m7E2ZMsWi7DQB52+0yQHtQCka7YE2+J2/+c1vbL85b9/02/t3nn6ZVxzCuXKGfAYoyDSJj33sY5LCXF4mF9xwww32TBN95hnBauD8ieh70n/UYC1zrz51lcrrkiTpAdKl8rq8CKxvBeoRFg2MhiXi19rampkGR7QVrYzfC0HAfz6EgV69enV6/o1vLwrS8Rl77LGH5fDQmEQUKVBHW9M4nMZjRAlfffVVew3+IWVdaF3yv2h4EAokxA8aO3astfMEpf3M3Txhr7heHMkm2s094rfhZ/MeIqgU3X/nO9+R1IEOzHlFmB3L5+KLMxeXPcLSYprbqFGjzI/3Z1mrYMDnMNmX4cOH2zWxaBgDw+/vuusuSSFqzZqZJrd69WrbX543fGXWQvEF5Yisjf2NiwX4t0fWIvIHkhA2SZJuJBvlw06dOlU33HCDpOLJbgcffLCkgJbMNr3wwgsldSAYQ4OOPvpoSUFT0bYSv4OoHOIJ1K2trZ0mjuP/gDhoXHye66+/3tq5MBQKTYvvypAofBemy/H/mM3D/eHbnXfeeZJCTpk8KW1D8WlB5HHjxtkUc99mBJ82j/xfNFl+3bp1lnu+6qqrKu4FhABpp0yZIkk666yzJIX2rrvvvrtFTvFNKbI/6qijJAV2Gvntp556SlLwkydMmCCpIx/tYxT1niEWGs8FCHvKKadoxowZkkLEmUl9yDnnnCMptCrFtyXaHd8D1yUqTz6c3DbPOLEZ4hdYn83NzWYx+TK7KG+dfNgkSbq7dAphq/GDi7QhUUkGFIGSIGzcUBrf9bbbbpMUWnCAKL75c1ekSDtTVoXGw5cdP368sZBg0pB347W0iDn++OMlhTEYjPtYvHixaVD2gwgyk8eJOIISJ5xwgiQZMsSRUphVfhYuiP+Pf/wjg7DcK5ZDzA5jXfjXoKGfpfq9731PUrAKPEdWCoPMQFD8TnLFN998s+2rlGWx5RUS+OeuqLyO13mG1Lp16yz+4Ydv8Xsi+7zXP5+x/4zvyk/GlMA5Z9wHjQU8Sjc1NWXW6CPbRfNhE8ImSdKNpGqU2Gu2ziArQoQMzYu/CVr27dvXroH/wP9B2ngK9qYW/A/8QJAODfuTn/zEkCTOzcY/iQpyLVASX+/hhx82xKQxGNVAVIDAWsL/IRKcV81BlJLopB8/Gcsee+whKSAe0XniA1JgnbEOj6zcA35eHrcby4Gh2yAV1ggDk0GdopaqNSy+3N/z2aATMQOspgULFmTGv7AmztYPT+MM8XXnzZtnsQmi81hUZAuIgPPs5Fkg8T1IwR/me1HEm0cSwiZJ0o1ko5lORX4tGorcJOiJX4dG+/Of/2w+EyiEz4h/BypR2bIxUtSEGg3Hevj/0qVLMwOc0egwgojkkq8FPWAOjRgxwrQzkWau4dGaCDm5TrR3LCAN0WlQGt92/vz5GR+2aNiXlK0v9teH73ziiSdKynKpr7zySos/kI8l0sz5k3+nuTdSreLHI3zEf871YX0ztJgv7XnPVJ4RrScviz/KXuCPnnLKKTZwnKg56wfZhw0bJinkdOFP8zzHrCb+7Qer1eISv2nkfx5INogbgkYI+WDmzJmZKn/oYKR7SKvwuqIUUj2dD/wXtqWlpSyFTecekNbWVvsS87n8ny4SmKLHHnuspPCg8TC+8sor9mXmgSVgwWsws9g3vkSYVTyELS0tmS9M3AzgjfcU9nTKE9+NAuEcZs+eLUk644wzJIXz4Av9xz/+0c4GM5Rp7dBMCWjRQaOIRrrllltaWsdT+or6HXlqoqcylsvlTIkbX2ZK8EgvMa+XlBauw3333WdnBSkEl4TP4UtOoGry5MmSwhnzjPXp08dcMK+wow4YKeiUJEl3l41G2M62EeH/fsp2nlCeBjpDE/PJ5s6I184777xzWQqa3xMv9t57bwvLcx8g2imnnCIpEN5BQ8wc5PXXXzfTFuQhQAWis3+YkMya9SmBtrY22zv2ARMccsWrr75aWMDuZcSIEZZigsSOsAd+sjxSbf4qqMjUcsgvV155ZWY9XmoFMovcGsSbxIMGDSpM52DKQ9zAJIXgz8+2tjYr/8TV4Rr8JNhF7y9MZEoqQff169cXBpnYt7gvVywJYZMk6UayyX3YIsStp2EX2oVUxGGHHSYppDpw3tFKXemTW+TDkji/5pprJIW0xOLFi00z4l9SWA1RHBremWeeKSn4Z6RS7r//fgvCoOkp5+KaoCS+Df4iU87z5stwLXwp0OCJJ54oLGAv6uwXC9eBUodgDeSl11gHlgNUT6yPz3zmM5KCv+9L56pJrc7/ICxIR+oqbhfkO1wSQ+CaIB50UgrsQeR7773XrARotldffXXF/UFG4fOnTZsmSbrjjjsqPqupqcnWzznwfPD71tbWhLBJknR32WQI25VWqF7QfmhyrkVhMD4imqsrUtQixvsSaLz29nbT1PiIRAEhtlPYTdSU1x9zzDGSOhAQaiZrxHei7AzfiYZqXNNHxMvlsqXE0OhEnrmvpUuXdipKjBAzuP766+t9i6TKqXn4dzwP0PWIoEMzrfac1GqRW+TDFvULjoX0lm+Kx/1QBgrCQjMdMmSIISeISgtUzhCKKgUGWGBYT3G7Ih/DwaLj2Vm7dm1C2CRJurv8n3f+jwU/EpIFCOL94o2Z8VKEsGhB30rk2WeftaQ7UVHQGNoauTq0NPdNidaKFStsDcyUBY1BHnKbkEWYAIAGjvOHoAIRZP7G/cXauegM8xqo+e7zXRHWgT9f66zyyv46GyVuamqqyKWDgPjVq1atymQnfAkecQiEeEk0Tc4QGy4Blg0UVBCYPYBCimXI3+N1cx++PW8i/ydJ0gOkrhYxtXwKqeszQ0ulkvkVRIPRYFwL5PIMlq7MJ/XCNYhqwjhCw44aNcrWT46U9i1EU2HFEGFk/EZ8v/jl5Dop7Oe1oPSNN94oqbhZ97Bhw+xePUm/2qgOqHhEPTvbSqea9OvXz+h4EODJ7eK7eylqQ1sqlTqdZ2fd+IGgItHs2Jf17WRBYWIHRa2CGhsb7bX4v1hJCO1gOXeoq35SYUtLi92rj8RXa/MjJYRNkqRbyZvuwxa1JkEaGhpidkfF3372s59Jkg4//HBJQftUm21aS4rGPJAvpDQK5B05cqQRwIncohVpeE2rFCKL+DDkY9evX29oDLLgB1NmB18XdMD/hT1DrnXEiBEWiUVLg274SjEP1beIKZoOvjEyaNAg89u9FeatIf//PH+1WkvWN15btc0P+xB/ZszFlrI+LLl/X4QRN0vwZH+KASgYiFvRSiHXDosuHtblB2fxOamAPUmSHiSbvJE4UnRdNEtcFE+FBBUTcDaJNOIbwjDpjNRqL7LLLruUpVAa5xk4LS0thvwULFNJQ1kd+ViQl7+jYV977TUr4CYK7PnH+MxEyEEXIsEg084772zoC2rjH6PJ4wZePkdZVJnTGQFJOPP169dXNMmWAuton332kRQao+Pv+8+P23z62MTee+8tKZQR+jMcMGBAWVKmAgYpl8sZf9+34yXvHu+zFKqMli9fbhxh/F18U4S1U6VDXpy8LGe6fv36TNWQR+eEsEmS9ADpUiPxPPFaDf8KrUd0Di1DxPWDH/ygaVsGEMECYiREXtF1njQ0NGR8KP6PBvWCr+J9KzTwyJEjTaP6aDb+J7+nOmP69OmSAnNozZo1hiz4PVQeUY9JRJHoJT+pvQRVd911V0NyopXwc6mMyVs/Ug1ZvT9Z5H9itbCW++67T7/85S8lBQuBgnVQiIHSnAP37JF5v/32MysEAVlpx+rFD5vKW5f/m2+e7hvKE92mdc+wYcM0btw4SR3tfaXgd3KGxBmwmrDMqATiudlss83sb5yzf22RJIRNkqQbyZseJfZj/hjFR9Pwd73rXdYCE/Sl4wBRWbRfEQOmnjwx4v2fkSNHlqUK30FS0HgtLS3mI9IoGv+Gpt98Pm1ZvW955JFHGhrh19KdgHEXNEAjH0vU2LdWLZVKhrogD9fGIqk20Lkze+WF9TC4itYxkydPNh/9pJNOkhTODD4tKAi3GN8W1CaCGkdlfTagKA5BxRV/97z29vZ2W7e3Gvy+8JxiLeE/33fffRbDgMtOTIXBWTDQuDY10ESvsYza29uNl07sJI4H5K0R6dIXth7iAjfAgRE2p3siJsnChQuN4nfqqadKCiVuXjaGkoj4jRg6dGhZCl8MT1FcsWKFBZH4GwrF712R2d3Q0GBfdsxrTC6IBpjmBNyYV0pKiYdw6dKlZsbxUOEy8NDF/YAIOsU9caVQIvjyyy8XKkJ+D/WOLywBM16/fv16exZ4iOlnxD0SeKEvMUEWJC9V5/sMFwVkSM3xZcPMjIkUvgjf9wGOCRJSMJVZ83bbbWcuDgBDYQClg+wpLh3pHvYrpiFyDogve0wtYpIk6QHyppnEXmvTGoX5sLRXueSSSwzdPH1uUyCqvw+PsIMHDy5LQaPGpqdUOWkM7QtqgCa8ljVi1vH3mDjOe/kcPhdUQKNzTX7GE9C8Nsa84rWvvPKKrRFivO9vjOQF6nyRN+eBdQBKYb5ffPHF1kP61ltvlRRQZ86cOZKyFDxfUF7trFkfKO0Rtl+/fhWL8ihaKpUyn+MbB7AvnIefdRNPcccl4n54LxZAUbAuJqt4s529hBIZl0jGkhA2SZJuJF1C2HravRSJ77BeKpUKKWhvhniEHT58eFkKLVUJ41M0v3LlSvOvSN8wwxXqIfNvaAuKz8e0t5133tn8GH5SZkdTMrSw78Xry66am5vNIvEEBny4uM2p92H9jF1KwGLhOviAoD/oQ8AMn2306NGWpnrve98rKQTRmPvalWem3ul13oclRQa6t7W12RniO3ok9VYULXoIkvbr18/SZkylY62s3d83iMx5xW16PKLzmiJLEEkImyRJN5L/NfJ/UQQy729eNgWdLvqs3JQAWhkfkhRJXO6EloaiRrsTGo9RmsfaoKjde++9mRaoECl8xBdfD/8Hvz6exB43pI4/j3tdsmRJhvzfmT30UwKYuABBAPTn3jZs2GDrI1LO/xEsGK5Rj+/qkSpKxeSS//ED2UP2rKGhodDvJ6biW8dCWSRNddNNNxkKsu++wQK/x1f1je9ieijX8mvk/6nNaZIkPUCqImySJEn+vSQhbJIk3UjSFzZJkm4k6QubJEk3kvSFTZKkG0n6wiZJ0o0kfWGTJOlG8v8AAiCRD3B+SKAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1500, D: 1.162, G:1.03\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1750, D: 1.246, G:0.9256\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2000, D: 1.293, G:0.7843\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2250, D: 1.281, G:0.7854\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2500, D: 1.31, G:0.9283\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2750, D: 1.251, G:0.8831\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3000, D: 1.405, G:0.8165\n"
     ]
    },
    {
     "data": {
      "image/png": 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wyCOPBAKbf+973wOCW3CPPfbIWFf1Iq7LlYL/ExJGABqewD6YyvbuqLKc+sUjjzwCwJe//GWgPkNWEYoYNk5iyMPdUPdO7rceE4B11lkHCAH9uhWqQenB0EONITrfDbvTRbDnnntmumM9bo9aa5hPZ3MsGp/USw2GUIrSqKMuV8noJ9uoz2lQNKyyUlqdcyqqJFmkw8qwMfJJ+nGdZHVWpZU//elPQDBU6bIzJW6xxRbLJD7XWXY0yMKAfg2GhmGaaGDY42qrrZaFIip9eW2VDhLDJiSMAAx5mdP8Dh+Hwsku6tBa4QaDogT2OLUv3wlNa9+vf/1rf1Px2OqQ7pb1VOIX6lIyrEXt1KkMUrj00kv7lOSMj523Ehs4UbTOeXY0ySIOMjD5Xqu0oZeV0tliO4PHtIavuqJB93EAQb4PTpF1PV5D5yjzxSVV87aXuKCeaXXqmRZf81haxi+//PJs/gbzW1zAZAmPraVZq7LXS8lr0qRJGXMrBajDuh4zZsxIDJuQ0O4YcoaFEPBsIkEcjqdcbyD2YFBviRh3yyWWWCLbWd0NZdIYFmGLrYcdHR3ZbzyuUoNsZjCGQfImRBg6Z5rXqFGjMhaLi3zVk8BeVFYT+l5fwwgNOthrr72AyoXgZHeD/XPJ5kDw2dZKLCiVSn2K2cUoWkOTQ/SXe43ffffdjPXUpWPLvckVF110ERAkAv3IPT092drJ3LKiwS/qxXHZU33srtMrr7zSR3qo1aEvm2ulNxMSEoYn6kqvs4CapU8Gg0o6nLpQrBuqBxk90wzEkU1x0vPVV1+dJT0bnaPOEkPrtVEy7s6lUimTIowEU0fy/PYa1RK94oorAn1Zb/bs2X1253p6sSodxJ3F82OQdfS/auk1FU19U4YxNLGnpyfTVWVY/ckG5Jt2qf9Ty3N8P3R3d2fMWq/HQSa1OLt+cFl+tdVWyySUddddt2zsWvK1wmu9Vd/MxxfEhRT0jRvZ9rGPfaxszlrE1WVzoZV95uB9F6eUxkgMm5DQRhhyHbajoyOLPomZVF1Jv2AjUKuQeNy6YcyYMdmOacFzxxlLBDKUO69s1t3d3SetLu7tqj6UtyRCsNTKGrNnz+6TvhdHBOXnONdcc5Ug+CGrFZuLk9stEGYqnJFcWklN/t54440zHdE5K43IepbXiaU00y2vu+46oFd60Y8p6xgtpa+0SIeVaSv50rUhKLkYtaYv2TXWOq8E5Lp0dXWx5ppren4g6MMmrxx11FFlc4w70SnlzD///JnlOLaPOI7nn38+6bAJCe2OljFsUebFnDlz+sSynnvuuUDIAOpPgnqt8xe1eSjSl8aPH5/tlO6cv/zlL4Hgl43hznvGGWcAvbGn+aibPLSAq8ebrWOCtRFY6jYyA/S1DldKP3N+sf8xX5StqIesaXxG7Gy00UZAYDKL55111llZVFrM0qutthoQ2EZ/dxw76998Cw9ZMS56Fq9hHOnk9/KNtvRzxy1THLeWZUvEeG6/d8EFF2RlcJQ4LKigj1y/rFKSPmcj9/ItPuN2n85f+8G0adMSwyYktDuqMmxXV1cJ6rNC9hfuvN3d3ZkV1thVk4z9Tr25tfWglh+2UmfyuPWDGTQWBR8MtDBqYbb8SDVUGiMEa+7NN99c6IeN9d1KUK+WoSxf42+0AOvTzbO0url6pKVWZBQjioTX1nHNnj07a8USSzDqxa+88krZGo4dO7YEIVMszjrq6OjoU04nLqjmuP1cpnN9xo0bx9e+9jUgZPJ4P1gErij/uZL0Zg64GVBG8Znof8UVVySGTUhod7RMh9UqJiuoM8ycOTPbodQf4oZQ7obK+wPJBBL1WokrMVCsb9k60QJu5kk6zrwO5u7r/GWvgczF4xYVVqsW6RS3tYS+vufYkqzF2ggky3lqvb377rsz/6UMod+5KHe3mo/VeF7LtPid3N+qaxgXx8ufY6DSYj7GWSkoLoZehEqWeat4WJ4nPkbTSsQUQdO/LhBvFEuEGPz93nvvZa4AU668IXyoB/OAxqi12Lpk8l3ADWrYcsstgb5GnqLeKgYRvP76632MMQM1pF111VU1xeZShQ7s1a6hriPDIH1QFHndQD2GYzfpfKuttsoeem8817TovN4Pcd+kUaNGZe8VPQi1+iPF5+zq6soSSQwGiV0/te6xjo6OrF6Z9ZdqwUCLeGM96KCDsuCa+DqIlF6XkDAC0HSR2F3ainOGgOmeuP7667MSMXbttoxIHFSQ34WhuIt3HtUC4wEmT55cglA3t5Fsnsdhhx0GhODyWv1ihAamfFmcuMNaNZGxu7u7BNV768QYSBECxViZrGht4i7plc5hML2qUjyeItdcLO7nE/PjtMn+rnNnZ2dmbDQYxLm4lp7fJARdWfH4N9544z79l7y3dQmlImwJCSMADWfY2OUgw2lQUjfMG2b8vwEJhqtVC5YeKGKGHTVqVBkDqa/JaLNmzcq7Sxo2DhGnksW6btxZoVQqZVKLOrKsVilwwuTumPHyaXaDKetTC5YCtadQUb/gSiGSsmEtKWmxxRYrQbB5xN3Mu7u7++jUhgDqtili3rh0S/678ThjaUjGje0VnZ2d2W/iXrO5cySGTUhodzRNh621a+c/r6f7eaMQ785zzz13GQMZCuiO/P777/fZSeO5+dpQtGrF14rmGheSrmZFji2L8XiquXXqcVvF118JIy56XW2dTMWrlOxeL4qkjSIpKV/WJz++2bNn93HJ+V31zbici/pz3msg08ukBs6o28aWchFLCGPHjs0kDvtExXOOC81ln1d6MyEhYXiiKsMmJCQMLySGTUhoI1QtEdOqImytRK1Ip5GA/hQSb0e02xoWJWtUQyrClpAwAlBXEbaEhISBoxEFGERi2ISENkJ6YBMS2gjpgU1IaCOkBzYhoY2QHtiEhDbCoK3ElSo05NEfH9See+4JhMZQZuwbj2perHmyIwG2srzxxhuBvkXCEoYW3mtvvfVWn/ah3ttmB9V6FhqBQT+wRYMzANu0umeffRYIvTvtcTJ79uw+CdnW//V9q+FZVdGbevLkyQBZ1cV2gA+iCfNWfhcGp5tuZ/rdSEMzU/oaCesSey/mYVc/0cwHVaRtPCGhjdC09Dq7sFnuJe75KubMmZOJFKaLuavZs3OLLbYAQiW+wWC4hLUp3puGJuLCbgNBq0ITXbfRo0dnXfksoFfUy9cUMwua+T3T2/xbDa1cQ9WxueeeO6twaCEDO1TY43f69OkNO28KTUxIGAFoehE2K5pbn9Ydtj9lX+Kk7qIyI/VguDCsBgsT56dMmQKEPi2NmmMz5menOWvrfnBOIKyrElWcoC+8HywY0B+0cg3z5Xhk0HoKFQwWiWETEkYAmh78X49OUgvu2pZtEUW9TIYzfvGLXwBBx1f/iYu/tRKeu94eRnlmBbjkkkuyomaW7RRFkoLnLPrdcIH3nIXuIHQnLLLLNBOJYRMS2ghNY1h1k3oLZkMoRr3TTjsBoTu2fy3rKdqJWcVWW20FhPKazkELuB3airDAAgs0RGrJoxazyoLqcHGRsddeey1jIBnVY1omNIbH0IvgvB9++GHWWmutfs+hFRgOPuPEsAkJbYRBW4nr6TdaC+ozMRvfdNNNAGyyySZAYO1TTjkFgOOPP77f5xoqK7Fd3WysFRejjltYDCYSqNlWYptnnX/++Z4j+2zXXXcFQmc3W08YtifWXHNNIHSaj/3R1TAUa1hpHQZjya/jfMlKnJDQ7miaHza2PMaMoaXx17/+dd3WtkbsaEOxO8+cOTPzJcdB/UbSnHTSSUDfDuUDwWAZ9uqrrwaCLcGY7SeffBKoz5ee65Ze8XPbaBTpuNUwXBi2EVFpVc6XGDYhod3RNCtxbHmMI16uvfbamscwtclsnXbFqFGjCtPljAQbjA2gHtiCwjjtarChs1LBfffdBwQbQiVmzTfXghAFVBTp1M4pks1oNF4vEsMmJLQRWlbmVF9ef5ojuZMXJb83wkLdCrzzzjtZMn6MVo29HmYVt99+OwCHHnooEJg1Zsm8XcK10pdurHQR4qi14YpKsc5xPEAr0bIHVsd6vis2VA7FGz16NBAuTFHwxXB/UA3or/SwDkVYWxF23nlnAK655hqgr2HMNdprr70AsjQzKzDcfvvtbLDBBgAcfPDBdZ3T9ffBHq5qz/PPP9/nvaG875JInJDQRmh6el0MmcU0snfeeSfbbQ3bKxKXdC/cf//9ABx99NFAZVeIO/15551X9n4rXQKPPPIIEAL9oW+X7magHrdOXsIxAUEpSJdLURJ6jDlz5mTica1aVCZ/22v2mGOOAWDxxRev61zQ2jU0oMOCA1DcB7aRSG6dhIQRgJYzrKimw9bCxIkTgeB+6E9lxlbuzpWu7XBh2DxkxWYmU3gttE8Mpt/MUAROzJ49O2NWDafzzTdf086XGDYhYQSg5d3rZEetiscddxwf/ehH+3UM9d/NNtsMCCVUhwsq6eBaG4ciQb0W1GFPO+00AL761a8CfRMU4vIv9UC9WLeeaLcypy+++CLLLrssENxdQ4HEsAkJbYSW67BaTB999NF+/9adfcMNNwTC7izj1oNW6D+Gri200ELZe1obZ8yY0ejT9cFAg/8do1JQvEZnnnkmAEcccQQQwgvfeOONmokZjUxFa6UOa4jtrFmzskSFP/7xjwBsvfXWzTpt0mETEkYCGsawK620EgBPPfVUXd/Xwpb3b+XOCxTrNzKtO7xJ0vWgmbuz43Y8BvbPmjUrC45vBQbKsHGbENupqMs+9thjAEyaNAkIvtQ11liDRRddtOIxTVxvZFmboWJY/dKGK7bK0p9HYtiEhDZCw6zERUWV44LSWgu1DFdKs9NHq5/1gAMOAODOO+8EAisPlw5vjtdmSP6VYVvJroOBa/T4448DwWd8xRVXAMGKLGyhssIKK/D000+XfdbM8imtgPet99hDDz2UlSpS4jBW/FOf+hQARx55ZNPHNTzu+ISEhPpQKpUK/wGlev91dHSU/Zs9e3Zp9uzZpXHjxpXGjRtXEvUcq6enp9TT01MqQvz9zs7OUmdnZ13HHswc6zh2qVQqlebMmVOaM2dO9rq7u7vuY0yYMKE0YcKEwY5jUPObMmVKacqUKaU77rijdMcddxSu9fzzz1+af/75S0888UTd6zt9+vTS9OnTGza/Rq+h/0aPHl0aPXp09nqzzTbL5uj8u7u7K67tvvvuW9p3330bOkf/JYZNSGgjDMpK3NnZyZZbbgmERs2xNdC2gi+99BIwsBhi40+NIGpUCdAPjtX/g0RQ3ymaU6v1ucEWYXM+rpWlV2NsvPHGQG/T7q997WsAdRcBj0vK5LHLLrsAvQX6KmEoYomXXHLJrKD9scceC8Aqq6zieBp+vmQlTkgYAWiYH7bexlQ2ad5mm22AXkvqXXfdBQSrY4Vx1DuMmmjE7iwraDW8++67y97XX+e12Geffbj88ssHOuR+Y7AMWy8sjr7IIotkzPqNb3yj4ncbGTs8FAz7wXmA4AX41a9+BcAXv/jFhp+riGEHbXTq6uoqdXV1DVi5Pvroo7P/T5w4sTRx4sSGGxDy/5phsFh66aVLSy+9dFPHPdA5DvVY2mUN+/Nv7NixpbFjx7Z0jsnolJDQhqgqEs8111wlGFyy8XDDUIlTrUSrROKBwIJ0g0mC+LCtYR6JYRMS2ghDViJmqPBh251H+vzgwzFHkRg2IaGNkB7YhGGHBRdcsE8/2YRepAc2IaGNUFWHTUhIGF5IDJuQ0EaomsD+YbC+jfQ5jvT5QWPmaNjhYYcdBsDZZ5/tuer+rd+Nw3SrJbyoqxvumEuWSVbihIR2R/LDDpM59qfdSC00mmFrBe53dHS0tCB4rTW0rEt+TLXGZ0E/W2jG6O7u7rM2RUkpnmudddYB4OGHHwZCaZl6rlfywyYkjAAkhm3iHIeqHUU76rD9uVaNWMNYrzShXr1TNrSk6YknnpgVDowLiDt2/xalmFqIYebMmdl34+IHvt/T05MYNiGh3ZEYNjFs22Ega1i0FnEZXv/KwLLlxIkTszaTtmKpF7FOXSqVsvHY/sOC5fPMMw8Ab7/9dmLYhIR2R8vbTVo+Zb311gNg7bXXznxeFvs66aSTgFC4ehxSVywAABfbSURBVPfddwdCSY7hDn1r7prd3d3Zzplv/QBhzuaJ+rk6lMhbJIdjdFqjpImurq5+N5aO/Z6x9bZUKvUp+uY4vc5F4/bz7bffnvPOO69f4yqyPM8333xZMXzXW8SvY7RMJPYiWvm/qFNAHtZM+sc//gGEyouDQTNEYjehxRZbDAjO79/+9rdA78MYO81//OMfA/Cb3/wGCHWhFJHeffddoO+DWw+aLRK7lssttxzQWynTcRoAoBiYM6I4NmBg1TNFvIYf1KSua7OIAxXiBzmu+O+DNXbs2JoPd4xlllkGgFdffRUID2NnZ2efdfV8uXMkkTghod3RMpHYnbZSlzN32S984QsA/PKXvwRC39f+dmhvFdyNFWfPOeccIOzeiyyySPZdd84DDzwQgN122w0IFfcuvPBCAL7zne8A8N577zV17IOBa5nvy3vbbbcB8NnPfhYIxhMrKypBKDm8/fbbQK9KBPDII48AA5YoKo6vEhPGEoDfGT9+fNnr+Bh/+MMfMomvCPFvlAhPOeUUgMxo5es86p13YtiEhDZCyxjWHcQuZz/84Q+B3p3ryiuvrPibmFmHyk0SIx6HepC66w477AAEvaizszPrvGeX88985jNlv11iiSWA0N3bOr/9NcA0AwYPGD7573//G4BLLrkE6JUaFl54YQB22mknIDCqRjWlqBVWWAGAF154AQhhe41c03r05HyYIISOff/617+AICE4d4Me6jmvPZI32mgjINTivuGGGwA49dRT2XnnnYFgw4h12CIkhk1IaCO03K2j7nLwwQf3+7dDwawdHR1Zt3h1EHdbd+dll10WgOOPPx6AfffdF4CDDjoIgO2224777ruv7Bj2pVHH03p+6KGHApV7zjQDnZ2dfZz3zkv2X3HFFYHAFLL+Aw88AMAnP/lJrrvuOiD09F1qqaUAmD59etlv1BVlvUZ2ZheO33N0d3f3cflof/D1aqutBgSPhK4YmS9vU5C5RcyKf/nLX4Agca2xxhpAb/AF9EpZMmvRMYqQGDYhoY2QQhMHMUf1HNlRC/DJJ58MwEorrQT0WkBlHC3H6rJ271Z3veeee4D6/NRFqMcPK6vOnDmzj2VUZtVibVK3LCODqI9uvfXWPPPMM54bCCy0+OKLA739hQB+8IMfAMFa3MgOhPXogZtvvjnQ21Ed4NxzzwVgjz32AAIr77XXXgD87ne/A3oDXeIAff3uhio6F++Liy66CIDvf//7AFl/pRkzZrDmmmuWjSu2iyQ/bELCCEDLddgYe+65Z+aDcyd3Z3/++eeBobcKF0GdT73861//OhDY5e9//zvQqy/JmHE61wEHHADAzTffDAQ/YbMhw3V0dGS7u1ZgLbta77U3HHXUUUBvx0GArbbaCqi8Pr6n9XjSpEll71cKH/T9/q53HB1WDdoSZHxDZB977LGy14aOVrIwe53iMFIlKvX0lVdeGYBrr70WCPe39os86p1zYtiEhDbCkDGscaiXXXZZZrFzZ9c3p34x3KHvTtZ0x1Wn2nTTTdlxxx0B2GCDDYBglZQV1GW1trYKHR0dfazEsqKWTFnGef785z8HKrOCzGkE05QpU4Cw3rX0zIFIU7WYNR+7q79bO4ORd1rl7W+rtFQJ6rv+PfXUUwH4yle+AsCDDz4IhFh4JTCZ2RjzSvA7hXOp+mlCQsKwQssZVp+mu6LsCiGr4YILLmj1sBoC9R6txu6ss2bNyphGn9yzzz4LwLHHHgsE63Cr0dPTk41TdlTSMT3slltuAYJ1OC5Glk+Jk0E95k9/+lMgSBDNbF3q+PWTa9Xu6OjIpB995P/3f/8HwDHHHAME/7j3Xqy7zjvvvJn1Vwv/K6+8AgRbxXbbbQfAtttuC8BPfvITIPimvS9mz56dMakShdev1vVJDJuQ0EZoOcMah/q///u/fT4zukQW9rvtAnfLyZMnA0EX/9Of/pR9JnsZo6p/9qabbmrpWEVnZ2dmwZUpZChZ8cYbbwTCmLWCy2gLL7xwxhBauT/3uc8BoeiAbKQuf/311wPhejQCjks2lWEvueSSLDdVn6mxvMLsKfNfZVPHN2nSJDbbbDMgsLRrt8oqqwBBQvS+1QetTUBL9LrrrtvHwlyv7t7ywAkvhMHw7733XhYk/frrrwNhgtZ13XDDDQE4//zzB33+2CHd1dVVgoGldRVBkUmj2dprr93HUe6NY1rarbfeCoSA+sGMJz/HeuZnCN20adOAYPjQUCRM3KiUlK4xx5vVB9Jj6+rw/f322y/77WDmBzBq1KgS9E2UUDyHcH29x7bffnsgFB/Qhbj++usDgTxU2SZOnJg9cM7R8/lg+hBqVDr88MOB4LJbffXVAbj66qszt5LXME5USIETCQkjAC0Xid2F1l13XaA3hU5XhqKZO7hhYboXDOtrpKjcSGYVGlwUJdddd91MVIzrD+26665AmJOfN2pcRcfJs8/LL79c9pmGD0U8WUkW9f0jjjgC6BWl77rrLqCvm8TgAY1slsZxrQ0RHEwaob9VZPf6ey1nzZqVpbzFLkTF56lTpwIhvFRp7rXXXgPK6zIZkqjkpyR44oknArDqqqsC8OlPfxoIoYnWMz7xxBOzdVGaqbdUTmLYhIQ2wpAFTrjD3H///VmK2XPPPQfAE088AQTjx4QJE4Cw0w93uGury9x888186UtfAoIbR11eaSKfegXNn2s9DK4BRj1Pw5ElcWTLd999N2Mkiw4sv/zy2WcQWEldXpdHIxP0ZVahpNDZ2ZmFV8rCsZHMcFjtKTNmzADgiiuuAHrDMGPp56qrrgLgyCOPBIKRywAKpQ4NXgacdHZ2ZtfQ84iifj0iMWxCQhthyBg2r29YTsSdXHN5XHbEz2vVbh0qxNXcP//5zwO9QRHqqrqs4oTqLbbYAmhdokOlEME4xUu9Kg6KsNCaSQAXX3xxVkzOwmwyiPqxQRjqe66t+vBgIHt7rHgeo0aNynRq7x0DJmRF5/bXv/4VCIn3ec+FbOh31W+1sXheQzj3339/IDCr98WYMWP6JNLXi8SwCQlthCFj2Ly+EXf/cvd1h1cPMmHagIThCvWis846K3tPfdCdXj03hvp6s9PsKumwRewelwK9/fbbgZDA8PLLL2cWfP2bMq4peTKs5WbU2RvBsEXMKt5///3MHqJeG/9VetN67fuOF4LUILNazmebbbYBekvlQAhv/P3vfw+EhA7XdMaMGQMO0UwMm5DQRhgyhs0Xcrbkqda1uHyoETdDHapYq72E43Zu6uk9PT1ZoXDDFvW/yQr33nsvEALFG41GdHiXyWQKI39KpVLGOuq1H/vYx4Cgs1vWVF+k16aRcH3iOS666KLZ+IxkiqU0dVmlOaW8SlBa0Ers2uqXNoop7oiXZ/4iaSBZiRMSRhCGrAhbPtIm9onZsEiceeaZQPB3DQaNKMIWRyvljgUEa6Cfd3V1ZbHD6rAyj7rkk08+CYQC4nF3tf5gKPrDxnN2zb785S8DoRWHDFdPOZciFK1hvsN5jLisqQwfd5bzvtRKbOTWYYcdxqabbgqEljJajbUkG1Ps2sVzzJdHjaW0FEuckDACMeRlTkeNGlWoV7m7uYM1Ir52MAwb79JaTc1ycYd1Pn5v2223zRK586wLIRpq7733Bmr3h63HT9sshq02hrzEBKEgmQXI9LX7Pe0WJu4PdH4f/LbuDuzC66+dJN8KMv/Xe3D69OnZe7Ff2mMbvbblllsCwS4hWxtrbP/jSsjp4YlhExLaHUNmJdYKZ0ZDHieccAIQfJfNyKgRccRPpZ3e3VhGdce0zYTxv+pOvv/oo48CvUXB1WfUUWRhMzmKmFXkx1Nv46Si+dT7nQrFrQuP4WfqhpdeemnZ+xbmttxMrN/lj91fi3Y91yMeu+tQ1HZDv6xRS1Ac9xyXdzHLLG7pkvfLa1FW19emUSuKLzFsQkIbYcgYVqvp+eefn2V62KbR3a8VDaHiXblSQ193UHdbd0OZVN1FmA9pYa/TTjst232NL7ZptSUx+yNF9Oe7deqEZa/j2Nwi5K+RLGees8XmzjjjDCAUI7///vuB4JethP76iuProcU6LghXCUWNs+uJV4+lsvhYMYsrMULIAhJanGut7ZAbnfIwLE8jTjPQyN46MQy3s8p/vjKeN6F1geyl00hxP1e6ZUBGp1gEjrv2+b4qgg/EhAkTsoAJS94YXGA3OOdp6F9RWlmzjE6mN/7oRz8qO5/j9OFyrgNBPIei7gZjx47tM/8Yya2TkDACMKwYthWId65FF120BIMLe4xTpdytDQB56623MoYZjLtGFAVuiGa5dWLjjuMolUpZ4rohgKYLfve73wWCiGw1xdNOO63u89bq7BbPcSDXNB8qW+9vdQn5W1U4Q2ktixMfa6655sqY3WChuDNeXkoqG2dds0lISBgW+NAzbGdnZ+mD94neB+rTMfvz3VZgKEITNayYAmmo5UDYrhbiNRwzZkwJAsPVc664A4U2hloJHv3BYO6LpMMmJIwAfOgZdjBW1OGKoWDY3Pkcw4CPUSu5ItbviuZYD8MVWXIHMr56vz9u3LgsVLOoE3vSYRMSRgCqMmxCQsLwQmLYhIQ2QtXQxOGuw1YK3K8lMTQz0mm4YCh12Fbgw7aGeSSGTUhoI1Rl2OHmX4xRFLifMPzQLhb24Y7EsAkJbYSqDDtcmTWh/ZCYtTFIDJuQ0EZID2xCU9HR0VGzOHZC/UgPbEJCG2HISsTkoTXa9g62q7DYmRkUcd5hI9pPJPQfleJvi+JrK5XcqXXspO8WY8geWBd4/fXXzx7EDTbYAICVV14ZgPPOOw8ItWEtq2I5EmsqtQO8YQ855BAg1OW1sp41hPobWD4UcIzWfHr77bezbuMmqFvfyHkXBfLHD+dweViHKxkkkTghoY0wZAxrZbvRo0fz9NNPA2FXsw/nfffdBwRmveOOO4BQKEtmHu6d2ZdaaimeeuopIIzVerRxB257jNoRYDjB67300ksDoYDZAgsskFVLdA1qGZr6Kyq3CvbPsReQUt9NN92USQnep3Zrt6u8sLrmRz7ykcLzWMNaCateJIZNSGgjDBnDWsBqnXXWyXZX9YWHHnoIICvs9fjjjwOhjGhc09YyH11dXdku6PFbUdu4CLLp1KlTs/HEpULV9U4++WQALr74YqB6f9JWw84G2223HQCXXXYZEMY+99xzc+655wKh8r+1gGPm9Jr42+HCrEoGG264IRAMnjJgvneQkp7MGvdL8npV04P7y6wiMWxCQhthyEvETJw4MSuqbDX8Aw44AAjdAertJTr33HPX3LmHIjXrzDPPZMcddwRg+eWXB8j09mWXXRYIHc/cpd3FB4L+pNd1dXX1Kc/qtbOjgSVLjz76aABWXHFFAI477jgADjrooKxHkpZ7JRvZpZlF2OpZw6lTpwLBA2ERNqvxr7LKKkBwKb7yyitAYMtZs2Zlc5A5a0FbTLXOA0VI6XUJCSMAQ8aw9lLt6enJ9B4LUt1www1A/32RnZ2dNRMWmsmwFst+7rnngKCnLL/88hmL2TLi1FNPBUJbD5moEX6/ehhWppk6dWqf0p6O9aijjgLIpAO/98wzzwCBeXfZZZeMwSxz+re//c2xlB2zEeVD+7uG1YIxjj/+eAC+/e1vl72v719L73/+85+s2LzrGndvj+GcU5nThIQPKVrOsPGus/POO7PrrrsCQY9Yb731gOZYEJvBsFqAl1pqKSAwrOPfaaedMl+yOp7+Ry3ikydPBihs6dEf1MOwef9nkS9URrXPrVZRJSLnssgii2R+da2r+hn9rm1LbHTWqPl9MJe61zAuymCrDCPQfvazn5V9HvvJPzg/EPzQRUw7mKSHxLAJCSMALfPDapXTD+fO9q1vfSuzRu60005AsMINpQ+1P3Cc6uVaBWWbF154IWtzuPHGGwNBV3V3Vqc99thjWzLmfKRRkSQjyyjxaDF1zLaOnDZtWvYdW3Ro+bc5ltbwl156qbETqYJKvnjnFM9ZZhVxZ/Y89Ee//vrrFT9vZuGHxLAJCW2Epuuw6gyyaGxhmzZtWqYLfeITnwBCE+B20WG1KLqz6j8Wo0aNynzJ8c6trqeOV6/PuRoaVeZU/c2/Sj6bb745EGK87777btZaay0g6KxLLrkkEKLSPMZAfJIxitawngybXCuMip+7HkqCeeyxxx4AXH755XWNM+mwCQkfcjRdh3Un0/+mbzXPvFrb3NWGWwZHLainVfs8ZtbYCtkIZm00XKvYH64k9MADDwC92Tq33norAHvttRcQdFYjhtZff32A7HuNsIbHqIdZi+B4H3744cLvqOcOZT52rcr/wOAeHI+hqKHx6eMf/zgAL7/8MiuttBJQ7sxvZzhnH1IXOA83MA057QDHfMwxxwBBjF9++eWzUEpdc4aIGmShAeiss84C4IQTTmjRqHvxq1/9CoDddtut4ufPP/88QJbEEAeT9PT0ZOt655131nXOZhBPEokTEtoIVRm2ETuDx4iNTYstthgQAskhBBH4m0Z2w24FYqf8hAkTCr870PSqRqM/NZScl+y50UYbAbDQQgtlEpPYbLPNgBAAryFOxpWdde8VjQ0acx/uu+++QGBYg/4NTTznnHOAEEBhYkNezDaMdLXVVqt6Lt1dztFjWHhhMEgMm5DQRmh5aKK7pmF811xzDWuvvTYQUptMQZNhG2mgaGV63aWXXgr0ugPU4XLnbdZp++XWGUiVwkrMp0vF5AaZaplllgECoxlsYIVM3+8PGrGGnje2IXzve98DQuJD7px1r5mS1mAkg+TWSUgYARgyhtUat+mmm2bO9P333x8IO5TWYl83OvXsg/E0jWEN6L/nnnv6uHV83Yxypv0N/u8v4lIob7zxRnY83SLjx48HgnXYgAr1wG222QYYmEegGWtoSR51ba+L4ab33ntvNjdDaGPccsstQJjbYJAYNiFhBKDlRdjcuSzktcgii2Q7tnqFZSKFu7O/bRer8YMPPgj0zmuhhRYCioMRWo3BMKtjz4cZyqR77rknEAqK77333kDfwmRxIb2hRhxOqu5tsfRll102s44XwYCSZiIxbEJCG2HIypzqozr99NOzNLQ4EdiQxXZqyZHHGWecAZCxK/TdyVsFE8wHEwIZF9LO2xSMZHv22WeBwDausyluhgAO997DJqDkUct33opQ2sSwCQlthJZZiePSMMbXvvnmm1mJmCuvvBIIfljZqFo0TH/RSiuxlsd//vOfWWLD4YcfDsBFF10EhETvRqJR6XVFqGRhVofV+m1ChGmVsrH2iMFY/IeiVO3555/PQQcdVDQeoLzY+GCRrMQJCSMATdNhYz1nypQpQGggJMaOHcsmm2wC9EY9QYh4Uu9xR1eHqGWtG2pcd911QCglkt959eHph24nVPPdGj9rvKwZLb6/8847A8EuEfs7hyssTmBx+zy0dKuXCxufmYXWSCSGTUhoIzRMh40zVYS6jZEv+liXW245oJdFLdBsrqyvm8GkrdB/1M/zure+YxnnscceczyNPn3TddhKMKrLdbZhtU2mbMNiPmw1y3/RvSRaqcPqh5Vp89BqfuSRRwJw9tlnN+y8SYdNSBgBaLiV2CwMo3y0Dsu0Mo1xw48++ij33HMPECyMjqkZZU4bsTvHET9CHVtm1fcJIUvF2NRmRmsNlmGtGmHJ0tyxPD5Qfh2ce5zzacEyLayuqd8fSBPuVjJspedDC/jLL78MhALrlqg9/fTTKx6r6L4pOG9Fhm26W8eF0bHuoiv25Acf9w5tBpq52M5t9dVXB8jSBl966aWsm7zXoZnGlkaJxBoOXaO4a7pFCMaOHZv930qKt912GwDf/OY3gSDe2nMn7pRXSwzOYyjcOvkSMbri7Nh34403Nvx8SSROSBgBaHpooowi3FEriQXD3V1TC0oT9qLRsLTEEku05dyKghtcQysiTp8+PauWqOEwDpBRjFSKio+dZ9ahrJoZM72SQ0dHR1bxUXedc4h/88gjjwChG2NDx9fwIyYkJDQNQ96BvdVohf4TlxJpNVMMhVtHmEan8akZbNlKHTbPnur0zqmZvZ+SDpuQMAKQGHaEz3Gkzw8+HHMUiWETEtoIVRk2ISFheCExbEJCGyE9sAkJbYT0wCYktBHSA5uQ0EZID2xCQhshPbAJCW2E/w+F5QU67eNYqwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3250, D: 1.276, G:0.8587\n"
     ]
    },
    {
     "data": {
      "image/png": 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nkemG7cjDxjEM4xTmpPfaa6/sOTDiH8sv/Wvxh5HvSvqFIqQ8bELCEEDTjcSFPoo5PBlhtdVWA4IvVa7YN2427mc23HBDAB5++GGPB6g8wa0aqq3O6oPzPq+MYgTUnHPcFF0GqlQO6LmNHz8eCEOvinDDDTcAwVLJN/l2P+aMc6L5tsyHjaPzleCz4vNlfjbWUDeCdjYSt/mdEV9L5iZPnpwxpudU1JTQe2SRQCNIDJuQMATQVHldT09PxjL6OVbwyIauUA899BBANsVa9Pb2lpTHQSh6N8915plnlt1/PIG9FtS7Oj/99NPZOViQftJJJwH9K3BixlXNs9BCC2W5ZQvVq5WQCdnc7913332Zj1zk/7WLYYXRb9u7zJgxI/NVvb9aQbGyzWvTTBF+O7XE8bXUcnzzzTezuIMZDuM2xirM4frc+tw0gsSwCQlDAA0xrPWYL7/8cr9crdtT5WFli9E3V1g/98EHH2SaS6te9GWNurYS1VZnVUr+ffPNN/tVEenTq23WBzeK7Mpr3ewll1xSM6PG8Fp4DKuvvnrm0+sr+Rn9xOnTp7eVYRtBI9HgIgzkuMly8BlWU2702Mh4nINuBIlhExKGAGpiWH00o6CullOmTKnqR6oKsWrH7/q9JZZYIlMw2Q7FVhvVVuX4/f322y/T5MbI1SaWXZ1j7XO+hUu5/HMetgf90Y9+BATNcTuw9NJLZ9Fqz99opBHodvuwg43BZlgtQjXsWlqtRBHDtqynU/zjseucvZ48KR13S7auuuqqLNH80ksvAbUHk+LvDR8+vKq0Lb4QikP8XjxbpaenJ3tP01MTOJ4E0EqzT+GE23Lh6+rqyvajSEFRipgxY8ZM/4NttNczDP4PdiCQTOKEhCGAuhj2hBNOAEI3vTxiszHPUNBaAbRoZVonLgqvtE3PNZ541ghqZeVyjDRYaZ3BxszCsHFThlYiMWxCwhBATbN1RCySmDp1atWAUKXi98FA0ersccZsOWLEiMLCcJnW69KI7xozu/93n7GfDtUti8SwnY/EsAkJQwA1FbDHKOePxqu+bBMzaxGTQbFPVvQdi7wtM2sE1SaF59nVhtHbbbcdUJzmsQ2Oaap8ZNdziwUmlmopFvHzijXy1yC+L7XOrU3ofCSGTUjoIFT0YRMSEmYuJIZNSOggVGtz2jD9NtNUq5H8aq34tEUYh/r5weCdYyuVbTFSlDghYQigoXGTteB73/seAL/85S/r/m47mDWh81Fu7u5gohlmtez0v//7v+v6XmLYhIQOQtPVOq204+N2kUPZh61WstcMkg/b+Ug+bELCEEDTP9je3t6m2DXfKrLZbTm6ohMwffr0trDrYKCWUS6fBuQVbZWgFr8RJIZNSOggNOXDzjnnnFknBFs/OlajFbCJmfra+Fht0WEXi1rwafN/mjk/h261oxleEbq6uqpaWfXew+7u7pZYM44keeedd0pedzynw82tk1XbHZ9P/hyLdPINtYiZffbZe6G023w7EQsm4s7qTsG2vYxT3u3W/95771UVbAz2D9bukRtttBEAxx57LADHHHMMEM7diXS2gSmHItF//hxHjhzZW+4ztSAOKFYq3ChCIyKYagG5+B4OGzasN3+cMWpZBOqBPbs222wzIMxHcm6SpZA///nPgTANUHKrBSnolJAwBNCyJmythCVnTrg7+eSTgf7NzvbYYw8gBJveeuutbCaOU8OdA5Mraxtwhu3q6sqmoP3whz8EwiqtwMR5sZMnTwaCOWoztkZX50bOr4hJ2ynFE5UaBoha72ErjnfRRRcF+jolKgJyep2WQDzpwdm3wrnBmswffvhhdkzxPKmi51Qkhk1I6CC0bHpdvXAVeuONN3jrrbeAUJDuCqsfVzSjxGPX13n//fezQFQRBoJhPTd97hNPPDHzt8W7774LhMnr8cT6ovRALWmDehnWbVp4v+WWWwKhuZjvf//73wfg0ksvBYKsbvr06dk0CCfZO3/He2uDgGqSvPnnn7+qXK+d99DZQLbnvfrqqxvelsE6t2Gr36uuuiqbj1SExLAJCUMAA+7D6h/dcccdQJ//KSO5ktvyRd/ATutOxjM6JzyH7bbbjnPPPRcIvoH7y322bauz+/7Od75Tcvx5eDzOIf3LX/4ChDmwTsj79a9/XfK9z372s0BfCquab1Yvw3p949a0Tj8Q+lmmLfLX1uni8ZRxLR6P1TnB3/zmN4Hyvrn3rshvb8c91EKQYZ1QqEWQn7IYNxbUIvzc5z4HhFk7piVXWGGFkm1uvPHGvPzyy0CYiBFbr4lhExKGAAaMYV29v/rVrwLBrr/mmmvYddddAfjrX/8KwKyzzgoE39WVXV/avJav62t9/PHH2bZiPyi3KraNYeMGa/rWPT09mdXgSq5PZyT8pptuAgK7iHvuuQcIDd2mTJlSGEvw+kyZMqUuhjVirR8t25dpUA6QzbpdeeWVgb7Yw8EHHwzAaaedBvSPehZhIGb8lkMcCzCX6hwp//q5ueeeOxvR4jn5nGpVxPljLZFTTz0VgHHjxgGw7LLL1i0OEYlhExI6CG1nWIXOrrhGGk8//XSgL096yCGHALVPfRs7diwAe+21FwD7778/ADvuuGPmM5mPFeZqX3rppZYzrMw2YcIEAI444oiS9z/66KNsFY6j2Oac9e1kz5/+9KcAHHfccUBYzWtRndXjw3788ccZm/zhD38AQt5bX+z+++8HyFj0ggsuqHoMRVDCKqNqVdWDVvqw+plG7cVuu+0GwLXXXgv0Pb/VWDFmbf+vIk2f3P9DfzVXrrQ0MWxCQqejbS1i9ttvPwDGjx8PBBbadtttgbCyDh8+vO55qs5HveWWW4CgHjrmmGNYfvnly37HqFw7oA99zjnnlH3/2GOP5eijjwbC6nrjjTcCQTUTr8a33347EBhVxVOrMdtss2WN4ZdbbjkgXN9vfetbACywwAJAfVrdOJLt/Vcor2UxEOop6O8ra/HoZwqVTfvssw9Qm8LMKLv3yiIBWdvRq/q4U6dOLZtBgBp8/qpHk5CQMNOg5T6svpi+q/rKbbbZBoDtt98eCDm+Bx98sC6dbH4biy++OABnn3020Dc4av311wfg+OOPL/vdduZhncRu3k309PRkvorMasTQ1Vmss846AJn2uBHmqcWHLcdsrvr6tEZFW4Fnn30WCPllNd7m4+tBM/dQa8Govefv9dh0002BcJ/EsGHDqkayF1poIQDefPNNIFxHLTDVX/vuu2+/Er0YKUqckDAE0HKGNbp55JFHAv1XsNi+bwTWvx511FFAYPOllloqY+5aRjH+57gaZtg4Kui5/vjHPwZgzTXXBPp8QSOtKmli6P84nKsZNKoltkIoVjhVQy3sEz9nX/rSl4Dg09aDZu5hLldd9v1LLrkEIMvnV0J8/x1cpsVo7t/cu1bFkksumVVlFQ1ha6iAvZ4LoXROwYLpCW+kpp8n2UgHAE0ML4TmoyKM8ePHZ/LAIgyE+L8eM9bPFgUhGtx/zT/Y4cOHFwoxqokalBfG5iOEe+QC/frrrwMh8GKhhw9uPWjkHioKWXfddYEg+vB5LCpjbGYKhQFEr6/SxiWXXJJXX3214neTSZyQMARQF8OWK2x2hVLapVjagNDvfvc7ILBhOVSb0RpDoYQBLU24hx9+uKqwYCAY1vIzA235RLnQJCv3XrOoh2FHjhyZBUXqRS3s4/Mlg/l8bLjhhkB/gUstaOQeKpDwmVGIonBfC9B0ZLnj8vn3fP1bVPC/5557AkEQNHHiRKAvpeR7tRRw5JEYNiGhg9AyH9YVy9KyM888s+6DMXikfxv7ubKRx6zoQPneSiutVLjtcsJ4aG8B+4UXXgjAeuutVyhbawcaDTq1UrxgikNfzcDLqFGjgCCcaYTdm7GSvv3tbwNw/fXXlxxntYLyRhCX4dUTr0gMm5AwBFATwxbZ6GPHjs1Y7+677wZCVLAobF4OcapHeZhMZcJZuZhysmuuuabmfYii1bleP7oclCZalG7E+l//+lcW8hdx861WolHhRL2oZRu+p+/ovdMCMw1YDxrpS2zhwtZbbw2E0k3vkYUkRejp6am5vav+ryxuhLweFk8Mm5AwBFCRYeeaa65eqJyb0u987bXXAFhmmWWAIASoJ3+lbG3fffcFQhNtG3n5Ny4UrwftiBKbH1ZQHvveBx98MGeccQYQGFwBxUMPPdTs7vuhXdPrGpm4p9RPIY35T0UajVg0td7DZZddFujzl71H6gSMCsfWYzOWR3x9tLi+8Y1vALDEEkuUvF8JiWETEoYAmooSDxs2LFM4mYd1BTUqqB0vK8d+wA9+8AN23HFHAD7/+c8DoXDamTnK1x5//HEgjLtoBM0wbL41ax6emwJ324S+8MILQF9LFVvBCP1185KtRLsY1rhELdPXbOlp/lOG03o69NBDgcYmDjZyD81ieG8sbLAxmmzsudUTgzEeYfHHLrvsAoRGAMZgVFvNOuus/ZrVxUgMm5AwBNAUw3Z1dWXs52gMfQDLpmwJ4vuK4A844ACgT4ca+w3+3zyrTb/q8StkeIuxRTMMq6jfbcuShx9+eMnnXJ0dijTPPPNkkfDYZzI/3Eq0i2HrPIaSv97Te++9F+ivfNNSq0VbXO89nHvuubMMg8PHZDiVeFqCxmu0pi6++OJsO5bmvf3220AYfuUoDpsznHjiiUCISFvArhVaCxLDJiQMATTFsGuttVYW/VMxYosWV0p9AhUtrlJGRy+44IJMfWLJ1UEHHQT0H1/RCjTDsI5vsEBZPP/880A4fiOfWgh33nln4Tb1f1upMhpMhjVSqpXh+ZmnX2+99TzGhvdR7z3MK4ts4G48ZKeddgJCgznHa5jd8Pmdf/75s8h2PANZRlU/4POhLrkV2YzsXOreUkJCwqChIYZ1JZk0aVK2oppjMsKr/2Z07v/9v/8HhFyr33v99dczZZBNv5pRG1VDratzuUqUONJtFFv/y8oP2+R8/etf77fdDTbYAKi9pWsjGAyG1Tc3CqyCyetnNLxalVIrJ7AbN3nqqacK86tahN4zFWk2D7To/PLLL8+eS1Vxjuawesy2PtbcmoetFhGu5RxFYtiEhA5Cy1vEuJL5t6hiIf+5Rqr5G0XR6lyPwsXPyiJWKOnjmHPMw+ijeclGOm7UisH0YY2cqiTaYYcdgGBZWbusX19Nw1sOrVSrxdHpBx98EAj+p43vDzzwwCymIrNuvvnmQLCsHNZmHraeqHCMIoZtqC9xUTHAf3ZU8rcoAd2MvLARVCtna6Sti4G0OBWgeeUcoTFjxmSh/8FCI7LCemBBur2QrrvuOgB+/vOfA+GZWWqppYD+ov9Kz1Q74Q9Vd8w+XC7CphRHjx6diV8U+OjueW11gdp5DskkTkjoINRVXhevzo2woyZhvZ35WoVq5lQjTGSgQhGEwajBwmCaxEWpLwvXW3HfB6LNTyUXyfZH1RqpNYMUdEpIGAIY8AnsrUAzJVADsToPNmYGaaJopk1oEQbrHjZSGNAoEsMmJAwBtG16XT2+YJwKqreLfMLMi2r3sh0M3C4MBLNWQ2LYhIQOQkUfNiEhYeZCYtiEhA5CRR/W6Jv5Rf2MvLwwbo7sZ/xOkSQxO4CenuwzSvoUWfsdo3N+Lp5Alt+XvrPHEe9v2rRpNUUYW9H2dLAwM0WJ24FPW6Q/j8SwCQkdhIoMK2sa6bUkSrFzvs2p7BcXMMuS6i7dlp9fdNFFs1I8m2rHeVaPQ0G5n4uPD0K51BNPPFGyLYX5taKVzNrd3d20hreToqkJ7UNi2ISEDkLFKPEcc8zRC6H6wL9+Z8aMGf1yqDET+NfX1SX7edk6/5mYSeP3ixp8jRw5sh+Dx8dXqw87WNAysF1sI0g+7ODAcjrL75pB8mETEoYAKvqwtraIWUoWy0dgrQV18I+Io7Zx1HiWWWbJ/u12HZjkuA+3EUeTZeB87W0cFXZbjbTpGAg46HjjjTcGYNVVVwWKo+oJg4Pe3t6sgbzP+lZbbQXAtddeW/J6O5EYNiGhg1DRhx02bFjvf/72fTjS+s4+++zZa0ZV/b+5Uf9vhFn7XpacNGkSp59+OtA3tgNCk2kZ1ojzk08+CYROD76fZ219ZBFHZ5vxYR3JEA8Hq81EJh0AABoASURBVAcen9fUc7GhtY3DHE4dt4mtBcmHrR22KLVJvPAZX2yxxYC+Dhl2ofCZip+1VnbNKPJhK/5g55133l4ID4+tT/LmbCxmMH2j8OCdd94B4JZbbgHCj/KGG24A+jrzr7XWWtn2oL/ZbKf17373u0AoEHeWiT/oGTNmZP2R//nPf2avQbiY9U5gHzZsWEtTKd5sf7AuOi5sXr+i+bHDhg3LFr8iM7/cD/b3v/89ELrTN4I4oJgv8ND18GH1GJ1qON988zW83xjtDDo5D2mFFVYAwqT4cePGZSaxZON8nnYgBZ0SEoYAKgadbOdhNziRFza4kspydlC/4IILgND9fuzYsUDoy3vrrbcCfZ3XbbVhW5Fx48aV7E8mceL6eeedB8Bxxx0HhFYdPT09WWhdNrArnh3d60WrhQqet0EmU1j2srVLn9c+nr0z22yzNTS1vRFm9T57jM5W1XrKp85Mz9kF0Zk0sUuSn9k6M8JZTD7PXoMnn3wya2/UTmathsSwCQkdhJoK2PUtXWFcaT/zmc9kTOaKdMwxxwCB4fTF/K59amWQbbbZJgviuPraWvLAAw8EwqrnLFH9JLvJyzj55mf6v7axrDU9IjPYrrNVKIoVOCnB2TOxxRKjEXatFV7PNdZYAwgT7+1gL9OWO5dLLrkECJaV0M/13jg3SatJH3ew4fOxySabAP3PcYUVViiciDiQSAybkNBBqBglHj16dC+EOaj6LGLWWWfNWny6KrtKG/0cM2YMEJosG/F10tvnP//5rDWmkd2f/OQnQJh0Jpxz4gQ8sfPOOwOl6ZZ48kBOCllCtT09Pb3Qngbbla6t73nsNh13TotWjdexzv3WnNaZb775MovF61dvWuLpp5/O2Oe2224DYIsttij5jNkCZyz96le/Asq3EqrWZK+VUeI4vVY0r3fzzTfPMhsDgRQlTkgYAqjIsAsssEAvBP/z73//O1C68sXjChxnsNpqqwFBCODohi9/+ctAmHh93333ZZHY1VdfHQh+77nnngv0n8qt/FFJ2IUXXgj0rdIxO8THddddd5WsXIpDWtkqx8i0vn45eM42pfY7TkBbf/31gTCxvhbcfvvtAGywwQZNCSe8hl67GF5//6699trZezLUHXfcAQTLYZVVVgGC+KWR650T7jTMsLHM1uO9+uqrgeDDFn1voJAYNiFhCKAmaWLckiU/ukP/Ux/F/ytqnzhxIhDyjk68toxszJgx2TR2c7j6u8sttxwQIoru/+GHHwaC/+fxvf322xkreF7xVOzYh22lSuaLX/wiAI8++mjhZ+KV2jI6Z+QaNfX6bLnlloXb8BxjP7BZaaJqtJNOOgkI1sCVV14JhHtYCd4jLS2fh2ZknaIZH7bo2mlVqBuItQcDjcSwCQlDABUZdvbZZ++FwHD6q6pa8t81cmvU2PF9qmLU/RqNc7bmCy+8kE1vd66mTKEva/RYvaozPM0P3nzzzUAfA8cF8yLXQK5tDOu5lsuVxu1uYsSKqkceeQQIkfF65qi2Svzvsbpvr3clmCu37Y/M9dhjjwFBxVZPMUOMdtxDmdaSOa2JZsbCNIPEsAkJQwAVlU7mXePyunLDmM2vOoFb3a/f0ZeRPV3Jnn322Swn6yrn/p5//nkgDAE2KrnMMssAIfJrdDSvDopXRNmvVjSyslZSIRkV10rRavGcY9/WiLnfGwzI+kXMqsXzySefZEOOtQi8FzKp8YhmmLUdMP5hlZfPlvD6b7bZZv2+O++88wIhfhMP9va30Eokhk1I6CBUZNi4TUlcuzly5MhsxYyLeSdNmgSE1dlorVUarj7Tp0/PdKbWGarycQjwnXfeCcAZZ5wBhNXbHJ/H1dvbm616Vud4rLFKqxrqYdZLL7206mdOPfVUgIyJ9t13XyBE0WOl1T333APAscceW/NxtAvmhP/4xz8C4f7k2816T3xPeB1jjfHMAn1sn1N97FgTv8cee3D++ecD/ZvUX3TRRUD/1kXtQMWgk7K9uC9SvtO+39ekUDCuyFsJmiez++67A+HH+P7772fCiCOOOAKAl19+GQgX0W4Wlp7ZocL0wo477gj0PRzxtID4QWplWkeT3JI5hfvlBAdxMMxzVjihue91cQGMgyC1oF0dJzx277Ey1LvvvjvrElIUVPMZynfJbBStDDpZmmmwVJGQYhyLQHp7e/t17SwSU8Sv6/KJSmk/kYJOCQlDABUZtru7u/c/f4H+psC0adOyVce/JshjQb9mq9uQ+RZccMHMjLUVzU033VSyTZl10003BWCRRRYBYLfddgOCqZbffl7ckX+9lauzgnclmwYf4mDEww8/nKWuDL4Ir61psMsuuwzouy4QytLqKU4Y6J5O55xzThYk8x7GOOuss4DQ5qcZtCOtozTU6+3vQtdqnnnmyZ4h+0BpRfpZ2dnv+BvQDfQaXH311ZlYqAiJYRMShgDq6proXwM4I0aMyFZ+fQB9RT+rz2LIW2bV38s3OYtLncRGG20EhNIsk/OmcyzHmzRpUuYraQW46ilNrLY61zLDRn9cGVucZNfHtxA/bnlTDhZJ3HjjjUDoHKmPVQll0m0DyrA9PT3Z9YotgXzPaAgCm2ZSHu1g2DjdVg767jJnfN0Vu5jCtJWMAqBqzQnySAybkDAEUFOLGBklXhVnzJiRrRquJq46RjvjyJqRRbc1evTobFVW+O42FTv4XQUUrnTuw/aT0H9qntHYouilqKfnsK1STOe4bVMERfLIcjDCvffeewMhBlALs4qBls0JLYnp06dnQhnvof18477UTjYYbHF9jDgDYiHHmmuuCcAJJ5zQrxmCVqX36m9/+xsADzzwABCeKVELs1ZDYtiEhA5CRR/2lFNO6YX+XdHzk9JdkWQ7ZVn6jDKW7V4suzKC2t3dna1uNmizzYiRO3ORbvuKK64A4Be/+AXQ18gNSttPynJGW2XlTz75pMQ3WH755XuhTyKZh0xXrqWlBdv33nsvEBLlXpdKxc5eD7fvKu11jIv1G8FA+bBG619//fV+ZWoxjHsY04jZpx60s4DDOMlhhx0GhOd08cUXzywZYyg2Y1MMYxNy4f+VOxY1BCiH5MMmJAwBVGTY4cOHl7RPMQJspO+NN97I7HoLsW3baWNs7XlbwxjZza/ESt9cqYz0WsiurNFigOOPPx4ILVh8fe65587ap8atQHLzaptenY0825wuRpwD7unpyc7B41BJo49kVLhafq4WDMZsHVvUWvqo5ZA7JiDMVtLiaQTtYFitOK1Jn2ef+WuvvTbLlXtfqzFmM21lEsMmJAwBVGTYopXLSO8ss8yS/VsFy4YbbgjAL3/5SyAwqqxpsyv/XnvttVmeVTG/Pq3so/+j/6uSZJ999gFKW4EaiSua1t7M6qyfqX+jL6PvHc+vPeWUU7LzOfzww0u2JdOqDHrmmWdqPYyqaJZhGykttEGBQ6RyxwKEhnoquZqJErfTh9Vq0opqBFqPRS1Ta0Fi2ISEIYCaqnVkK212WWyLLbbIVkojuA6qMg9nBY56SsvMjL6uvfba2SrsICsrf3zdBs4TJkwAgnZXX1E/Y6655sq0yyLWP0+fPr2u1XnhhRfOtunKueeeewJhGJfaYStujJ7WMkW9lc3JxED7sMOGDcv8Oq0j76+Rfu9VK3LG7WTYGPrihxxySGZZFcG4jfEKx5c0gsSwCQlDADUxbFwBY4Tz4osvzoY4GeHVf1PBo1/q+yKe0A791UmXX345ACeffDIQfFcZ+Lnnnuu3jXhbHnNO61pxdVaRYx3kr3/9637bFrFe2oi4VUQOUc7XQ1rY/7Of/QwIFkkr0SqGjWuK4xy78YuDDz6YH/3oR0C4Fua1VQy1EgPJsJVQi+68USSGTUgYAqipHlbb3XYl+coGdbVW2MRVMvqsRlCNIusbTJ48mbnnnhsIeVWbal911VVA8Fltrp07PqC8RrNIeVO0OldSNlVDXKEU66ufffbZzCrR720nWh0l9v92Dzn00EOBUGE0ZcqUbGyKOfo//OEPQN+wLYC11lqrZJvNYGZh2HaiiGFr+sHG5XVi6tSpJf2dIJhEmryayAZqlGvZBqarqysrBFAG5g84VxJXsn9/7EoC8xMJ4h+ox+cP8r333mt4tk6+S+DMiHKzZ1r5MBtA8n5ZlD9y5MhsMd1uu+2AIB9tx0yaTvnB6o7VOw0QkkmckDAkUJFh55tvvl4IyeRyfYlj1o0/U80h7+7uzlICcRFxUfd+ESemp02bVlgknDOfO2J1bgaDIU0U3kutEZl37NixLdtHpzBsM0gMm5AwBFCRYUeNGtULIXgSF2bPmDGjX0I8J7Lv99myB1AhJWMBu21OY8aN+8B2dXWVtGAtt816hRMDjfh6GbSxOVgtyK/OzkdqZJL7zIrEsAkJCR2BmpqwxdGu/AxWv58vZs4jnugWM0ieYeNSONMlubmnJdvwePLlbLmG4f22/5/PNLw6m8Ka2dhKvz03VXDQfNiBQGLYhISEjkBFhk1ISJi5kBg2IaGDULHN6afBN2jmHC2rM4odyzPzPnc7BOIijgskH7bzkXzYhIQhgJoaiSeUh7neWFscxwVawa75pnLx9trJ3gl96OrqamnD9kba8EBi2ISEjkJDTdg6GY34P/WuhuaCVV19+OGH/cZxmsuNNc+2AY0rlepB8mGbR1ETvzxsUh+3JWoFkg+bkDAEkBi2iXNU8VVt2PI555zDvvvu6/6BMO7jvvvu8ziAUAC+2WabAaGFTC1+arvrYeuBLYEcEHX00UcDYRRG0bWrxVdsB8PGarEYa6yxRjboy2b1tvDdZZddgDCULa46ayTGkBg2IWEIIDHsf85x+eWXByo39N5jjz0AOP/88/2u22z4eIrasfh/G7g9+uijNW9zMHxYj9e2Po6+iHXfzTTXzu2rYYaNmT32VcUFF1wA9LU3hb42RXF1mAOcbSjv82HD+5hZKw2LjtFQi5h23ux6HvJWthmJL8RKK63UC6FzfTkUif7jH5fzg5wvUwl2HLSPlYEqe9raNMCZNXfccUf2PVvpaMbFGIwf7J133gmEKYXV5s/kJyDWi/geWqQSF340ghtvvBEIfbSdaDFixIiq834tQ/WvbZHuv/9+IDw/tZjIySROSBgCGDDhhF3R7WOch+aSK6QrkM57O1GJWUVROV1sJdTCrOKEE04AQlfJxx9/HAim+UEHHQSEyX633nor0Df1rYhZBxqat5988klmbdg72kZ6YpVVVgFCR8x804FWoRlmFU6fuOiii4DwbI4fPz5rIuBURbt5ClN2/r3llluA0IPaecbNTGJPDJuQ0EEYMIa96667yr5eboX1NWeI5mfnQPAp7S4fTxVoBkUtZloF/Zmtt94aCK1d9ZUsKHjppZcA2G+//Ur+/uMf/8g+a5/ggYITDS6++GKgPFPEzPr2228DwYIQNmlrBdohGfzKV74ChMDSqFGjsmdCv9znUSvNXty24XVbpoFGjx4NkKWHyu232rkkhk1I6CC0LUq8+eabA4EFnIdTZh+F23C1jqeq6yfFK1ktKEoJxHNkWg2tAC0NJ3x77Oeccw4QpiwstdRSQJhjZDR1s802y/wqm7KXaTjXliixc5IUDHjNysE4hLN17rnnHiC087GlUD3N5UQ7hBNGgD0+79err74KBJ+7HGywrnDioYceAmC11VYred1Wr7U8YylKnJAwBNA2hnWcg9uXDXPbrrqNomPzu41MD2tmdXZ6mytmNXic3d3dma/qOclS22+/fcln9fnMYzqLSDZdeOGFOfPMMwGyyfVCH+rdd99tKcN6bLEPl4esYXxhueWWA4IQxXyy/pvN+VrBsPPOO29Jw/tG4DmtueaaQBCq1DKW5Yc//CFANl/Ie2su10mOXqOurq7CiHYul5wYNiGh09G2KLGMWrRCHXzwwQAcf/zx/d4rYtazzz4baO1czlioXe5931PNUxSVzheZQ/BlnnrqKeacc04gsLQlWXG7VxnK6W9GFp988kmgL3q8ySablN2/vn6rUct1jnPDscTz+eefL/l/HCWOZX95VCtja4ZZhedo7MV7Vwmeg9/xXnnu3g/jD+UmKsbR4Wr+bWLYhIQOQtvzsEWqnC233BIoZdgiZvV1i7tb2RKlmiA7//4XvvAFIEQSY9/u+uuvB8KKq2pmq622YvHFFwdCYXoMt6mvq+jfSLllaePHj8/YttXw/BwZeeSRR9b0vVjxk4fW0IQJE4Cg+tHykln33ntvAM4444x+Ue92FIjHMP9uOaDHkM/L+28j3x6X907Lx4yIkf5KGYjUIiYhYQhjwKp1KkV8Xblks/woEIAVVlgBCMqmJo+j7iixReUenwOqXGFlkX//+99AqNbQx+nt7a2q7LnyyiuBsHrLyEaLV199daDPl/U91VAxms3DPvbYYwCsuuqqZd/XR3OquuddCdWYpBW59EZQTa+uNTfXXHNlTGqcwefU+2+MY5lllgHCc6tlaOlhLUh52ISEIYAB0xKbb7Ni4eSTTwb6fNynn34a6J/fc9VtBbM2ip6enqxmNR6pWVRxosZUv/Ooo46quh/rSFXHyJ6vvPIKEPK1yyyzTFa50y4UMaswh1gLswqv2csvvwzA0ksvDYRKqHzT9YEcHxM3xzOCq/Vw2223ZcdpFNhc+aabbgrAn//8ZwB+8pOflGzbfP2LL77YsuMdsB+s8i1NvMUWWwyonJieGcrIpk+fnplCO++8MxA6TlTD9773PaAvYOG/lWrGnRgUGmhmG6BQNL/PPvsAfZ0QLr/8cqA1HS/y8DyL4ENdzw9VGICxcMG0XmySjhw5sq7ODI3C6687Jlm4OG+88cZAeD5vu+02llhiCQBOOeUUIJSMnnTSSUAofreEVBGGksRGRCL9jrvpLSQkJAwYBrzzf1HLkDxk4XYJ8SvBNIoFBhBWyCLBgtDsU5LmCvzOO+9kyf94Qr2pn2222QYIjHvFFVcAoSOfgaADDjggMydjU6taC5NqqMZszZQcKqI3nSdid6IV1kI8zzi/H7eveauQJZaE/td//RcQnsEFF1ww63x53HHHAbDrrrsCcNZZZ5V8V0tMllYE0wokhk1I6CAMeBM2E+WGwA2y5CG7KWZvJepNCXR1dWX+tw3SLGpW5KDs0GBNpSCZPpsrt356HMAysPPTn/4UgP333x/oSxEU9fQ13fPKK680lNYxfRULFfSvLUBohAVlPYNpXkthKiwuEimHZqY3KGrwPihk8XoX9Zju6urK4i433HADAJMmTQJCZ8WJEycCoaBd31aJYpXfWslnUlonIWEIYMB8WP0rfTZLkfIMu8466wChG/5AwhXfFTfv/xg5jBu2aQHECfRy8D2jjjJO3OZTv3SNNdYA4Ac/+AEQku/QnwXctn5io7BN65/+9Ccg+OD65EVYZJFFeP311yt+Rh/e6xz78rUwa6MYPnx49pw98MADQIhVuF/bEYm4wGTWWWfNvqtPusMOOwDB4tJKUqqppei2qk2IqAWJYRMSOggDxrDa5jLXtttuC5RGCX3PVa1SC5JWwUifjcUqQR/RldNCZaF/rj8muru7MzmbwgHzkvfeey8Q/EPztfpUzz33HFA+56r/WymabvQ5lsWVi6TaptUihrjIQmF8XF6YZ1dnAunnCdlfttEqqeW6V0O1cstZZpklE2jYkF0pqK15RBwf8Lofe+yxXHrppQAceOCBJZ8RN998MwDf/OY3Sz4XTyQsx7S1xgUSwyYkdBAGTfzvyjVixIh+uTFX41Y2mc4dR8lGu7u7e6G2kj1VMbKSK6ZjN/TP9NNtkzPnnHNm27eRmZFlmdWIYytKB5sV/ysVtam5sL2Ls2Ty91SWNwprRNW2rl4729oo+WsEtUaJ843VVlxxRSAwq+WLMm9c7mcLG4/3tNNOy94rE9EFgjVkDEZp6uTJk5s+x+yc6t5SQkLCoGHAfFj9LaOirsh5P1X/Ls5JqkapFolsBPUwWsywWgQykdvSR8m3Z3W19ztOR5Npi1BpBu1vf/tbAHbaaaeaz6ES9E3Nu5pntrm5rFkp2mlEPYYsZP5d9Vg7Czu8HxdffHHWuN1rpj8e3zvZ0BYx6oenTp2anXfcwEDryGd51KhRQP9Gc61QcSWGTUjoILSNYWUGGUR/zlXbIvDtt9+eyy67DAgr+3XXXQeEVc/Ss3YwbDWMGjUqO45YgSWDqt7RalBza7RwwoQJWatLI8i1FjNXYrNWMauQdcaNGweEpufVRkfWAtViWhoDWTI5fPhwxowZA5D5suZQjZeYhzUSbJ423yJGhlRz7T3UdzVK/MQTT/TbPwSGnT59esNsmxg2IaGD0PYosdE41SD6Bip5KkGfSR+hFWjHmIdqmHPOOTO/fCCKs2uJEhsJto1JJcS5U31dlV95hZdF22p1bexmHrpZNRZUv4f6lj4/7733XtaiR8vOAnUrcNRR639af3zAAQdk29Qq8DtFY0iF24rbsA4bNqxq7CRFiRMShgDazrBxo+7Yp60l12pUrhVazFoZttXdHAYS7RqGFSN/jWSuVnRVqIaiexgrnmT1jz76KIvYeszGIYyL+L5xCJVo+vW1ZBNa+cwUMeyACSfik9FUeuaZZ7ISMnvWKkKvZ6J5rYgvxIgRI3qhWBY5GEX0EAIVmnK2Zenq6qo6c2jGjBkD8oMdLLTTrRnshdr7PmXKlGQSJyR0Oga8gH2wUbQ6y2S1TCtrJeK5pK1g9IEyiQcL1eSl5QobOg0p6JSQMASQGLaGFjHt8Gfa6St92hj203COIjFsQkIHYcDbnHYaWsWAcRK9qNywE9NInQSliXG7nxgzqx+cGDYhoYNQ0YdNSEiYuZAYNiGhg5B+sAkJHYT0g01I6CCkH2xCQgch/WATEjoI6QebkNBB+P8Ay5tc+ETGZAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3500, D: 1.357, G:0.7869\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3750, D: 1.34, G:0.8331\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "# Make the discriminator\n",
    "D = discriminator().type(dtype)\n",
    "\n",
    "# Make the generator\n",
    "G = generator().type(dtype)\n",
    "\n",
    "# Use the function you wrote earlier to get optimizers for the Discriminator and the Generator\n",
    "D_solver = get_optimizer(D)\n",
    "G_solver = get_optimizer(G)\n",
    "# Run it!\n",
    "run_a_gan(D, G, D_solver, G_solver, discriminator_loss, generator_loss)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "pdf-ignore"
    ]
   },
   "source": [
    "Well that wasn't so hard, was it? In the iterations in the low 100s you should see black backgrounds, fuzzy shapes as you approach iteration 1000, and decent shapes, about half of which will be sharp and clearly recognizable as we pass 3000."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Least Squares GAN\n",
    "We'll now look at [Least Squares GAN](https://arxiv.org/abs/1611.04076), a newer, more stable alernative to the original GAN loss function. For this part, all we have to do is change the loss function and retrain the model. We'll implement equation (9) in the paper, with the generator loss:\n",
    "$$\\ell_G  =  \\frac{1}{2}\\mathbb{E}_{z \\sim p(z)}\\left[\\left(D(G(z))-1\\right)^2\\right]$$\n",
    "and the discriminator loss:\n",
    "$$ \\ell_D = \\frac{1}{2}\\mathbb{E}_{x \\sim p_\\text{data}}\\left[\\left(D(x)-1\\right)^2\\right] + \\frac{1}{2}\\mathbb{E}_{z \\sim p(z)}\\left[ \\left(D(G(z))\\right)^2\\right]$$\n",
    "\n",
    "\n",
    "**HINTS**: Instead of computing the expectation, we will be averaging over elements of the minibatch, so make sure to combine the loss by averaging instead of summing. When plugging in for $D(x)$ and $D(G(z))$ use the direct output from the discriminator (`scores_real` and `scores_fake`)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "def ls_discriminator_loss(scores_real, scores_fake):\n",
    "    \"\"\"\n",
    "    Compute the Least-Squares GAN loss for the discriminator.\n",
    "    \n",
    "    Inputs:\n",
    "    - scores_real: PyTorch Tensor of shape (N,) giving scores for the real data.\n",
    "    - scores_fake: PyTorch Tensor of shape (N,) giving scores for the fake data.\n",
    "    \n",
    "    Outputs:\n",
    "    - loss: A PyTorch Tensor containing the loss.\n",
    "    \"\"\"\n",
    "    loss = None\n",
    "    # *****START OF YOUR CODE (DO NOT DELETE/MODIFY THIS LINE)*****\n",
    "\n",
    "    loss=0.5*(torch.pow(scores_real-1,2).mean()+torch.pow(scores_fake,2).mean())\n",
    "\n",
    "    # *****END OF YOUR CODE (DO NOT DELETE/MODIFY THIS LINE)*****\n",
    "    return loss\n",
    "\n",
    "def ls_generator_loss(scores_fake):\n",
    "    \"\"\"\n",
    "    Computes the Least-Squares GAN loss for the generator.\n",
    "    \n",
    "    Inputs:\n",
    "    - scores_fake: PyTorch Tensor of shape (N,) giving scores for the fake data.\n",
    "    \n",
    "    Outputs:\n",
    "    - loss: A PyTorch Tensor containing the loss.\n",
    "    \"\"\"\n",
    "    loss = 0.5*torch.pow(scores_fake-1,2).mean()\n",
    "    return loss"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Before running a GAN with our new loss function, let's check it:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum error in d_loss: 1.53171e-08\n",
      "Maximum error in g_loss: 2.7837e-09\n"
     ]
    }
   ],
   "source": [
    "def test_lsgan_loss(score_real, score_fake, d_loss_true, g_loss_true):\n",
    "    score_real = torch.Tensor(score_real).type(dtype)\n",
    "    score_fake = torch.Tensor(score_fake).type(dtype)\n",
    "    d_loss = ls_discriminator_loss(score_real, score_fake).cpu().numpy()\n",
    "    g_loss = ls_generator_loss(score_fake).cpu().numpy()\n",
    "    print(\"Maximum error in d_loss: %g\"%rel_error(d_loss_true, d_loss))\n",
    "    print(\"Maximum error in g_loss: %g\"%rel_error(g_loss_true, g_loss))\n",
    "\n",
    "test_lsgan_loss(answers['logits_real'], answers['logits_fake'],\n",
    "                answers['d_loss_lsgan_true'], answers['g_loss_lsgan_true'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Run the following cell to train your model!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter: 0, D: 0.5689, G:0.51\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 250, D: 0.2101, G:0.3513\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 500, D: 0.06932, G:0.4839\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 750, D: 0.1307, G:0.2881\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1000, D: 0.1165, G:0.4161\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1250, D: 0.1239, G:0.2947\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1500, D: 0.1947, G:0.2353\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1750, D: 0.1586, G:0.2627\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2000, D: 0.1916, G:0.07786\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2250, D: 0.237, G:0.1727\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2500, D: 0.2317, G:0.1719\n"
     ]
    },
    {
     "data": {
      "image/png": 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2Y0OoxtpFGt8GIhLDJiS0EfrMrVOPxVWrcT3d4vJQq/5j4LYlW9oJ9eiw5UqyVCo6Xg6dnZ09ghvic1jq0wLdeefKG2PpuXpThy21mBcdJloJSYdNSBgAqMiwCQkJ/QuJYRMS2ggVrcTzg39roM9xoM8P8oultzOSDpuQMADQ5wnsCe2DsWPHAqFwdn9BkcxqUrr9fPsbEsMmJLQR+rwIWz0owg+WdNj2x/y2hqVIDJuQ0EZomQ4bR6cYw2pMa6Xf7LLLLkAoMm4plhRnmjBQYZEA47fzkBg2IaGN0Os6rDvJxIkTga5GUbJvSQmQiuewCLetIizsXAvmN/2nFfMzbthCcj/84Q97HJOXlWMzrLzGWrWg3jWs1MIyhrHDPoNKebfffnvWIMtc7niOFqezCHkzWWe9XiLGnjF77bVX1WOtDbTrrrsCcOSRRwI9a/N6g0x4t5t3PRX60gubj9VWWw2Ahx56CIAf/ehHAJx00klA6IdqNcu440EtqNYfp1yVyhi1rmG5pIW41nX80tmN3trStcDfeq5qc5wxYwYrr7xytXMmo1NCQrujX7l1HMvvfvc7ALbZZptuf5dpddxbL7eermZ9wbAzZ87M+tf0BlolElt0TZWkEVgRs5lidEWuoeKr//oM2t+pEWhYtVNhJSheK26LxLAJCQMAfc6wla6v4q+pW51Vo4ffy7z+W+V6De/OjtUkbXdHEVd+t0fNsGHDsrnEY7z11lsB2HjjjWsdRi3jbAnDzpo1Cyjf68hyMZaPyYMGwlGjRjU8jlrXsJYichpBV1xxRSB03SsH1zDuD5x3nOVh7Uz4zjvv5J47RmLYhIQBgH7NsBtttBEAU6ZMAYLOGndg+/znPw906QF2XKu1Z0k9cywtDA7BWqr1NEa10irl4I5fzVJaCc0yrN3stGQ6D8cUl4P553UAOPfcc4FQEuaGG24AQiH5GI10VS9Ch33uueeA8OzU4vapNlb10LjLXhFzFIlhExLaCH2WXrfddtv1+C4OnLjmmmuA0CUs3gXzSne2CjKPeOGFFyoeX+qXq9Vx3wyzFoXYR/jkk092+yyzDhkyBOiSIJzrHnvs0e1Yu/LFvspnn3224FHXB6323/rWtyoep82hlvWTWeNWJwb46ONtBolhExLaCH3GsDa+KoUM5q7mjuXn2Aors2644YZA6G9aNPLS+r7yla+UPb5cxIv/z5tLf0TclEqo05b6DqsxkMnv4uabb+72u3LnbCVuueUWIDw7Mco16aoG1zh+LpRQ9GpUs6RXQmLYhIQ2Qq8zbDlLmlbWn/zkJ0D1VCN7irpzGfvaKhxwwAFAiKl95JFHABg3blzF35Xbne1uHqMRS2KrUW+MbOkx8dzffPPNbp+1Iuv3/NnPfgZ0rW0e6xWJPB/qMsssAzSWyqkvd9999614zY8//jiLk49tFtViCRLDJiS0EXrND3v11VcDofP4T3/6UwAOPfTQLCKozPWBnru139uW0rYataDIOFStpUbtGAlU5fplv3cuNqTyuEZ2+mb9sDLFY4891u17/clf/OIXgeDLrITYF73eeusBcOmllwIhhldpatq0aeyzzz4Vz9lMpJO2g5jJPOaCCy4AQuZYLdCL4drF7UpizJkzJ5fhS8aT/LAJCe2OljOsO5ky+3333QfASiutlPub2HJoYvBrr70GBD3D2OI8hs45d9MMG+t2eXDOf//732u2NhahyzbLsPoNtREce+yxABx++OE1n8M42iuuuAIIOuzo0aMBuP7664EQQy07DR06tOo9qHUNzS4qjeHde++9gaAzx0zbzP1XSnBuX/3qV3PPWc2/22sJ7Jrv77rrLgBeeuklIIT1TZ48GQhiQ7mHYOrUqUBIfr/88suBIHJecsklAJx33nlA3cnGhafXKcL9/Oc/B0I1DQP7586dmy3QtGnTgJ4BBiXjaXY4Db+wbnw33XQTEB64IsemgdC6XQYT3H333QDstttuVQsSNLKGcXhlHoqYoyGrW221FRCefdWbl156KSOdPCSROCFhAKBwhjUgQnFkiy22APLN1cOHD896sBrqV2vH774KHC85V8Vx+PfOzk6GDh0KBPE+hju/Lq1m0CjDxgYZ77eifRGImS6+h7NmzWLkyJFAvsGtiBTJGPWEIFaDSSq6rJyzrszXX3+dddddF8gP0UwMm5AwANB04IQ7k4Hg6m122o7hzqLO8u6772YlR0yNUzfdfffdgS6jTSn+7d/+rdlhF4JqDD9+/Higa9euVkHP+xcHjvcGZBUD4U8++WQAfvOb3wCB6eoJoBBLL700EKQnf5vXw2bw4MEt6UIXVzYcNmwYEJhet1NsHKsFunU8t3q5ietbbrllt+MXWmihhpM8EsMmJLQRmtZhTXFzx1R3jRHXdNXpPmbMmGz3c5dT5s+DbKROEDNwJdSq/8S7ZlGwzKZ6uzDdSyZqhmEb1WG9/65RrF8aMGFqpKGkteBXv/oVAN/+9rcBePHFF4HAwPXo8PXqsJ2dndkzpTTnM6SeftBBBwHB3VNLeZkYPvvqrtpeDA7xHVh44YWrJjkkHTYhYQCgaYaVidy53Jn0oVpQ3NKllgzRHzl37txM1rckTDwmC3dZQFw9r5FUrL4uJJ53v4sM/q+XYWW12Apfcr5u/8rApVZcfY7XXnttt2P0t8ehls5XVpeNagnFrHcNBw0alF3H8cRSnLYVy5uWG0esd3vfPHdcNFAWV1oaM2YMEKSLf47dOVWco0gMm5DQRmiKYRdYYIHMR3fOOecAsOOOOwJBJ3GXueqqq4Cgwxhgfv/99/P8888D5EZ/uGO5ozXDRn3FsBbOVkqI0ZcMW+b3Zb83OmmJJZYAgjX/ueeeyySqnXbaCehpGY2xySabAHDUUUcBQZc97LDDcj0MJeNreA2VCOOSo0bkLbXUUt2+107y7LPPZlF5F198MRAY14QGkyUMu5WtTeyQ1X/3u99lKZt5SAybkDAAUFikU1z6xDhUY0f1sdaDU045BYBJkyYBIf7WmN1G0FcMe/bZZwPwH//xH92+b0Xier0M6zOgtd0kC0uA5uGQQw4B4Ljjjqt7jJtvvjkQbBr1oJE1jJ9z/eL6Y4Vliiwe5714++23s2STE044AcgvbyuMffddMPagFiSGTUgYAGiaYeOWg2Z8uBupy8ZWuXI+V4+1YVItCeH1oq8Ytpo/r6902I6Ojkxvy4vlLhL6n7XWmlZXD+pdwxEjRnDnnXcCIXOmWqRR/Hx++OGHucXTYn/1yy+/DIQ0O7O56vFqJIZNSBgAKEyHveeee4CQkOwOZuMkSz9+5jOfAeC0005rYLjVceqppwKw//77l/17YtjqsAia/vE8VGroXJqpBNUL69WDItZwzTXXBJprK+n8jVL74x//CDTX6Eskhk1IGADo82ZYvY3eZNjSKJa8QnL77bcfAKeffnph121Vu0kho2q1nzJlShYrHFvBm8Ff/vIXoKfvusg11M9qvMAaa6wBhKyzyy67DAj+ZaitrWklDBo0KGPnvDakvVYipr+jN1/Yejqi2cXAZIomr9vSF7avUe8alqobrTSo1YO8bhIiicQJCQMAiWF7gWE/+uijTOSK4fceW0RvmcSw+YiZrZE0uiJQrVBBYtiEhAGAPuteNz/A3bvUyLDkkksCIdg8oXjEHeJL+/PGOmNf6bSNFihIDJuQ0EZIOmw/maMJ3wNVhy2yuFwzlf+FpVQtjlALRowYAfTsxCfirorNIOmwCQkDABUZNiEhoX8hMWxCQhuhopW4v+g/RaK/6rBFoj/qsEViflvDUiSGTUhoI7TVC9vZ2dl04HXC/ImOjo6WlOPpbaSnPyGhjdBWkU61FJlOSCiHagXc89IfS7+vlmHTDGqNaU4Mm5DQRug1hrU0zF//+tdu3y+44IJZdE9cDCyvkfP8CIuBWRysL9BKhukrxIyW95xCa+ddazxEYtiEhDZCr8cSP/PMM0AoJXLTTTdlcbQxbANigesf/ehHAJx00kkNX39+8+H1xvwGDx6cZcb0Bopcw3p02Gq/9XOca2vBN4u0Lbzwwlk54Dz0eYkYa7VuscUW3T6//fbbPPHEE0Cop2MnPDutWz6lGh566CFWW221iscUudh5IuJmm20GhLq0HR0dWT1e52p1yT//+c9lzx3Xda7nhUiBE8XBZ/Dhhx/u8eIpNitGW9dqt912A+Dyyy8HYIcddgBg6NChQG21mFPgRELCAEDLjE7Wao2pX7Y0zer222/POnvbx0Rjk71ITFuyI4B9UWJUY9eiENfYXXnllQGYPn167m9OPvlkABZbbDEg9MuVpTW4rbXWWkDoSVQOY8eOBfLZubdx22235fb2bVcozj766KMA7Lzzzlx66aVA6FZnt3bX7jvf+Q4QOjnatS6ujNjZ2dmwASsxbEJCG6EwHVbD0bvvvguEiv+6ZNxdvvCFLwBw9dVXZ5/VWRdddFEg7Eh287a79+c+9zkAXnnlFSAkRVvIrJoiD83pP3Hndz8rGdh7VP182WWX7XEOJQvnLzOp4xaBZnXYPN08Lr1iv9QpU6Zk6+78dD8pFeUlfTeCVuqwpWV9oHsH+XvvvRcIXes0gv77v/87EHofH3vssQDcddddQJCaZs6cCXQvZZuKsCUkDGAUbiX2fO7G7iDqbPbKlIFnzZqVlfLQfRPL/LfddhsQesza+0V9sM7xFb47q6u8/fbbQOhUfv755wNd0kfcDc1jt956ayDsxt4XrcPek3rQKiuxXdLtz6vkc+211zJmzBgAJkyYAAQLqmwk6xSBRtZQCcb7rjSkZODffRYN3tFeMXfu3Ix9nauM6dr6rNuNXt128uTJ3a61xx57cNFFFwH5XfQSwyYkDAC0zA8b6wKyojqtu8/FF1/c47dbbrkl0BVUAWEXWmaZZbod5y5YD1rBsFq1tRrHYW2LLrpopsdceeWVAIwePRoIOtKzzz4LBIt4MyiaYeOAACHjvvnmm9m6+jxp05BdlJZ++MMfNjuchtYwDnLQzy07WnZWXXvVVVcFwvpMmDAh6xqv1HDNNdcAQZKySJtMe8YZZwDhXniu0rK3tc5RJIZNSGgjtIxhY13WXaae/qD2J1XP05qsXiF7V+umHY2rcIY1hFL9yPHpe500aVJmOTbSaZ111ul2DudSRIB5UQzr2jkmWeGggw4Cgh+yXHKGUT1KS5tssgkQOt41gyLWUM+C66H0ptVeu4lrOXz4cG688UYAxo0bBwSdVLvEjBkzgKDb6/WYNm0aEKzFnZ2dVf3ViWETEgYAWhbppM7iTlJPAWkjmewP6k6m//MHP/gBEHqqevywYcOaHXZD0JKr5VHJQP/cRhttxG9/+1sAdt9997Ln6M8pa3Fxc6PYZOBSrLLKKkDoe7vrrrsCxXaYbwbGee+4445AeMZk2BNPPBHo8l4APPDAAwD8+te/5rjjjgOCtOhzt++++3b77f777w8EiWvTTTcFuts2Gm3ClRg2IaGN0PJsHTMZZBZ3oUqIxyQ7v/7660CIIHIXNJrmrbfequXcheuwji+vQNxee+3F8ccfDwQ/X8l4Kv62ERSlw66//vpAYJ9JkyYBIV2sUvSS8ypSNy85d91ruNxyywHBZ37//fcDQXqQNY1ai9t8vPfee6y99toA3HfffUCwCr/66qtAyDbz3z/96U9AaAeiTvvWW2/1iEevNkeRGDYhoY3Q8hIxyu21MKu7cd736qgHHnggEKyz7uaLLLJIpu/2JhzfHXfcAYRoH6E/rhwOPfTQ1g2sQTz99NNAsBUYQ2uEz6hRo3r8Rglh4sSJQFh3GUxmy8u0KhKuhyz2wQcf8NRTTwFwyy23AIHx4+IJRs/JjkoRG2ywQaaXm50l+6644orZdYDsWsYaOOfS8j55z3o1FCYSx93AXECDCuLA/FIjxCOPPAKEG+FvFRc03hgwr6EgTl8aM2ZMFi6Wh1aIxLEBoR5Dgg+I4n4RKEokjgMmfvrTnwJhw/RlXH311bOAj1/+8pdAWMM4aKAINLKGBqrstNNOAJx66ql1XfOjjz7iG9/4BhC60/ncanz7/ve/D8BZZ50FhER13V6+sEsuuWRy6yQkzA8oTCRWBIp35ZhZNULJlgcccEC3dKNSuM/Q2x0AABRTSURBVBsaAqYI/OCDDwI9XUUzZ85k8cUXBwIL9waaSdrOM9z0hwqFBgK4pv7r2HRzlAb2x8az2KjTm7WfxP33389ll10GwBFHHFHTb2RFJcQhQ4ZwxRVXAEGaNMhChtWd531ShfP5fv7554Gu56XRfsCJYRMS2ggtd+u420ydOhUIqUelARWxAr7tttsCIfRtySWXBIIZXQOWTnmx2GKLZeGLtZrLi0w/cx6HHHIIAEcddRTQNUd3Yccl0xgip/Sg1NAMa7e6CJtrusEGGwBdZX5ELBH4uVEjSznUu4aLLLJIdv+1FcRhl7Fk4BxNWrnjjjuyQB0DJTRgaWgzRNY1dS21UyiFpuD/hIT5BIUz7H/+538CIeBZS5k7SrzTzp49OwueFprj3eVMPbvnnnuAsDtaPrKesMdWMOyFF14IwAorrACE1CwTvffdd99MFxKmd7nr6iJwp28mzLIvypzKOlqShZZ851cEGllDCyeoZ5rmaCC/f7fwX7XABghrZcki9V7tKBYjiM9Ri/SUGDYhYQCgMCuxVi8ti3GYYByiFvvpSmHiumVDDT2MccIJJwAhZG7QoEENlVRpFLEl0Z3T8VhwDkKng9NOOy0bK3RZySEEJ3z5y19u9bBbgrzgfoPnDQ3sC3R2dmYlitQvtdxa/PuGG24AgmRTSxqokuHRRx8NwAUXXACE58Jk/TPPPLPb91tuuSXXXXddY3Np6FcJCQl9gqZ12DjKR+YsDQsrh4cffhgIrRBK4blWX311AO68804gRIrEJUHd6To6Oqoms7cy+D/2V5ayjnMyze7mm28Ggp5riRKD0rWAx93qaulj0xc6rLq4Ae5ajl2rPF97I6h1DSulsMm08fNSS9qbvzXN8PHHHwdC2Vd966bwaWkuvUaKdEpImA/QNMNaDsMWHJZC8bzxThZHvpRCNvFvsrX6Xp41OC5wXQlFMqxlXrSAGjDuZy2kI0eOzO6PfmIDxrUsP/bYY44HCDqfgeT1oLcZ9pOf/GS27lpGjSnOS9hvBkWs4TbbbAOEhmU+az6DRtn9+te/7vFbjz3mmGOAkMChVGlMsfaKRpAYNiFhAKAwHdbdRbYzpUi2dOeyjIpy/kILLdRDb1DmtxBWkWiFDmupVmNLZVibfJW7x1rL9S0riZj83Ax6m2FvuOGGbO5G/9iYzO+LbNzVyBpqsTd1ULuHeqeMa3K+qXH62MePH58Vkttuu+0A2HvvvYFgp1GnNWMsjgfX26Hfthz8zccff5wYNiGh3dGUH7bUYhk3vZJx3VWM7PE4/w49GagVzNooFltssaxsiFACkDXUXd05bZJkKZE999wzawKsBHLrrbcCIR43brBVT/RWX2PzzTfPxmtJ2pNOOgkIFtS+hswqHK/x6pYgdX1sHamdYu21184KiY8fPx4IzGou8DPPPNPtGnFcdSVmzSvWHiMxbEJCG6FpHbbWvM04H9KdrN58wGZRhA6rfqZlN46KiedYij333BOAddddt9v3+mMrNXKuFX3hhxVav5U6WoF617BSdowReT6H5mv7PNvidMMNN8walsmUxs3H8dM+6xZRN59b1CI95VmJW55eV+acDqjoU9eEZl5YxxyH4dljxl4/ilm6BC688EI+//nPA2GDq1UEagR98cLGvXxbuc6tTJGM8dxzzwFdnQtMQokRuy7juTdyL5JbJyFhAKDXGbav0Zu7c1+h1Qxr+KGivymUEAInDFXsbwyriGuv4UZLtbQaiWETEgYAEsMO8Dm2cn666koTPHrDRjG/rWEpEsMmJLQRWl75vwjUE9xfFHbbbTcgBLEn9ES5YgF9Zf0vB5PRe6PbAITOCHnW5CKQGDYhoY1QUYdNSEjoX0gMm5DQRqiow84P1rfBgwfPgxBxZFKCSQoQAvLjnqeGmOVFK3mu0jIkcSmduNB2XthaaXlYj7H4m2MtiZ7qYSWuZL3Nu3ZsO2gmgqdI63GyEickJLQFkh82mmMcJzxv3rws2N/A/Dy2iK2Sxhi/8sorWSSNidNxcbVq8JpDhw7Nzp83jqL9sHnX+frXvw6UL6NS6znKHVdvgbL54TkViWETEtoIiWFz5mh5zrfffrv0WM8B9GTLuFh6aUbOEkssAYQYVuNxZ82a1e2c1XzOnZ2dPXTmMg2lqzJsLYnycevOSixpV/a4MXXefJrxrSeGTUhIaAvM9ww7aNCgeRDYUsZx5y93f2KmsVXkI488AnSVE4EQCTRnzpxMn7UcaDUdtlIhutjCHOvd5azEwrHW09LE63mPtHqb6TJ8+HCefPJJIBSk22effcqeK4+lLc737rvvVv1NYtiEhIS2QFvEErcSspSsUYuf0mMs9v3qq68Coayp+ql+2BVXXDErZypsUm2LDpnPzJe8hsMjR47kjTfe6HauvEoYpb/zPPUwq35ez+G/lrPx8y677JKVBbVsqGVFLUzmvbAki+d2zDLrsGHDesT+pmi8gPn+hRXxQ1H6kvqi+oCaBG1FvW9/+9tAqIRobV470R199NF87WtfA+Dqq68GQqC4L2wcUGGX+bgz+N/+9rcenf/8XBrsIWqptRWL/6NHjwZCRzcTITzXHnvsAYSX7cMPP8yMTZ7jBz/4ARCMdyNHjgSC68sx++JaFyu9nJWRROKEhDZCnxud5s2b16MwmZXVf/Ob37TienUbLOyRYykUGUmG8x4OHToUIGNTUUuK3nnnnQeEPrKKxBqrNOosvvjimZslD/UETgwZMiRTB771rW8BZNUBP/WpTwGhS4MuqXKid1w50uR261L7r7WcqwV/VEIrjU4VglFqHusyyywDhKJ8jSAZnRISBgAK02FlhnPOOafs391RZaFSqBvFxhN7qW6//fbdjisSef1tS409dpyLdVkNKM5dnc8CZJb+nDNnTsaYGpcse2odX41NTzzxBBAMWi+++CIQ7ttrr72WdVa76qqruv1NQ1Y9KE1MuOiii4AQKGH1/v/+7//uNn/DLDVgLbroolnxtZhpva/2vVXvtxNCucCNIsqE1gvX1Hure6pcj988KCU1w6zVkBg2IaGN0HId1p1ql1126fa9LhAZBQKraVH88Y9/DASrpFXZmynCnaf/xLu4oXbLL788559/frdxadkUhi+q23qcOO+887Li4o8++igQmEhr8KRJk4AQqqibQyZ2fNtvv31W3Pr5558HAtOXm2Mja6jOqt55xRVXAKGjm31n7Nb26KOPZmVR4vuoVVgdfNlllwUCo5WWSK0VrdBhDVT5wx/+AAQd3HnU4w4rp+PXi6TDJiQMALScYe1eJqOWnDv7f1638fXWWw+AM888E4CVVlqp2eHUvTt3dHRw0EEHAWT/2k1dFrSHij1WTj75ZCBID/feey8TJ04Euieil4P64tixYwE44YQTAJgyZUqPY+NzuZalvUUbWUOt4oZPan+wi5+fN954YyBYjwGOP/54ALbYYguArOObPmKTINTNS5MrakUrGFZpwrko6SjVQbgf2iNiaULdVamoGSSGTUgYAGgZw8ahdiXnrPpbdSUtqLfffjsQ9Io4NK8e1Ls7d3Z2ZjrbwQcfDIToHXdfWWLbbbft9lutxu+99x4jRoyoaXwmhV933XVA0K2ULmSwSmhWh5VB7CSvHcLer+PGjQPCvHfccUcmT54MhKio3//+90CQAq6//nogSCNxiqKoJbG/FQwbJ1LU8pzG746FDh5++OFmh5MYNiFhIKBlDJt33lp2LlOt3OGLsLqVjKvi7hyneXV2dnL33XcDYQdVz9H/qUSg5ffcc88FgjV19uzZ3TrOV8Imm2ziuAC4+eabgSBVjB07NmOpOIKqUhG2WvClL30JCP5c9VAjt/Qrq7satTRu3LiMKfXHCsetXmcUUNw/tlxf2byUuyIYVulIffxXv/pVt8/28S33HOelNbbyORWJYRMS2ggtY1h9ksrza665ZtXfyFhxepW7t77clVdeGYADDjig7nHVujuXWgBXWGEFIET+qFdaQsVO7GbiOL4JEyYAXX7Najrsgw8+CIQ4Xv2y3ovx48cDXffTBsIyT1xupVGGFcZIaznV32uEU9yicd68eZmFP7bk6yWwUNspp5wCBL9mXOa1loIBrdBhPfeNN94IwFe+8pWqx8bQ59yIb7nMNRLDJiS0OwrPh3X3Mf5X/2MlTJ8+HQjMFEOfmDpNkYh3b3Nd11prLaArykc9TMbUv+qOqs5X4gft9nnEiBHZris7yZIeq+VVhtp5550B2HTTTYEQ8zts2LAekU0yXZw7W2m+edIMBLbbf//9gRD3G0tJHtfZ2Znl0FrSRinE+OQjjzwSCBlYxivL4qU5vrWU6Ska3hefV581789ee+1V1hcOQUo47bTTAPjud7/bunG2SiSOQ70eeOABoOeiz5s3r0dVBeGDWPqwNos8capclUShW+OCCy4A4JJLLgHIXBkGTPiAH3jggUBYdEXWUsSGC90Ziv8GGigiG3iyzjrrZEYv71fsIvnHP/5Rl0gcdygwrc6QRDeqV155BQgblHMonV8sNjs2DXCGeRr+6GcrVOywww5Vu6EXKRLHYa7HHXccEIoSuIFDqCzi5lQynm6fF1tsMaBY96NIInFCQhuh5W6d2NS92WabASGooBa00lw+ZMiQeZDvsH/jjTeylKuNNtoIgK9+9asArLLKKkDYnRUzZUcDPd5///1sDorCisinnnoqEMrJGJIoe3pODWyTJ0/m8ssvB0JlQpmvJE2xZoYtV2k/NmLNmDEDCOK6biXHceedd2auHtdXEV/pxEAQmdTAGkvJiHPOOSeTpExrjFEkw5r2pwqkW0o1rB4oWWmcdG2VvOpBYtiEhAGAXi8Ro4vEULVdd901cwmoI5QZR2HXr3V3Lg2ZM50uZrQ4cCGulK8uaABIKU4//XQgpA7Gif1XXnklEPRIC7ydccYZfOMb3wCCVKC+2IhbZ+mll86C1vMSxWV79U6DDtRlX3zxxUxvk5lMIFCSkjUtPqeBRgZWGnnnnXd4+umnu80vRjMMG/dJKjlnraeoCos4GKYZh1/WgsSwCQkDAH1ehA16MkWZcRR2rbzK/15bS2lpqZh4XFp/vXeyoKlk7qjqa6+++mrGuv7m0ksvBUJJkjiAIA7HM/yxs7Ozh1unkd46tUBdVr1U/dvA/rgcTCUY6mciv+e2E4JJDw888EBdvYP++ffCAify0NHRkY1Vj4chm3nPZzPPbWLYhIQBgH5RSFzdVRbpTcSV/2ML6YILLpix3qqrrgoEy6aB6ocddlh2LISUQn3Rp5xySqYH2xWgNOkbgo4na+26664AnHXWWUDYrZ966qncMMdaAidqgfPVtqDVUx91JWbN04PVVQ2OsZStfk6LFUyYMCErmyNaGTihDSH2g+sLVm+HkHyfNx7X1GCQViAxbEJCG6Ff6LBx+VBRrkxHs8jTYfMSmDs6OrLxxWF9Mqnfuyt7vL7Gjz/+mDPOOAMIIZtx/x11VvXlQw45BAglYtQfV1111SygXj9lIzqsv/n0pz9dVSeeOXMmEMILLVW61157Zb/RSqxFvNSCDME3HeunlgcyweCuu+7Kzp+HVuiwSkla4A2xVJqaO3du1o4kLrIXw0SONdZYo+HxJB02IWEAoF8wrMyk/mjMrvGnRSLeuTo7O+dB0NvijuAjR47ke9/7HhC6tq277roAXHbZZUCIALLUp5BdDj74YKZNmwaEOXo9ddV7770XICthGnfMK2W9aoW1i7ISq7PKMq6L66Wfeb/99uOYY44B4JprrgF6tvWI+8XKQkYYlc63ms7aG/1hK93jOGFCCdCUwWqF9mpBYtiEhAGAPrcSd3Z2ZjvS8ssvD4Qyouo16k6tgDtozKzusO+8805mLZVx9LfqUzSBXT1NBjLy6fbbb+cXv/gFEPTa3XffHQgJ3UYACXU9s5vUgTfccMOyKXEQ9NxmYQMurbVHHHEEEKz56vBai1977TWmTp0KwDe/+U0gzNP2FXanl1H1UZu6Z/mZY489NhtHnCjfm6jE8sYba1m2OHrcBK0VSAybkNBG6Bc6rGPQsiiDudvWWiK0xmtV1H9i/WPcuHE94k5lIK3EsoeM6vGWdRk8eHBmFZZR1l9/fSBESa299tpAYOm8Jl3ldFgttCXRVDVbiRdYYIEeMbvq2VpD9957727zcS5aeAcNGtQjO8sY4tVXXx0ILGksbxz5FevsldAbOmw5uAYWnzNH2Tl4X2KreyNIOmxCwgBAr+uw7qSy0Lhx47LvzDc9++yzgaDX9Cbc4dWfSsuTqruZ3WKVCjNT3IEt9l1a/sQIGiN79MdaWjSGu/ZRRx0FkFlh11133Yyljc6q1uC5Esrph+rz+h1/8pOfAGE9zI+1GdagQYOy83i/ttpqK6CryDiECCJ9xzYbs/2HOvuCCy5YUzHx3oLjnj17djYXmTVeuzj+uxXodZHYBXXhFlpooezhNDHcvrC+ALpR7rnnnqavn+fWybsPo0eP7pH2F4tvcW9cF9kUwtVXXz1zgRiCqOEoDoUUpiFq8CoVFWOROD5Ho26duJRNPCah6K8b49133+0RKCGqGY7y5l8JzYjEGuZK++JWgkUKpk+f3qMUj32ArfFl8YFWlDISSSROSGgj9JnRyesussgimXtA5tIwYcX9IjtwV+sP678G63/wwQcZo2gQMvxOCSDPUBJ3c680l7yd33tiSt/7779fV5Gy3jLI1Itm1rSvjE7VUG69G0Vi2ISEAYB+4dbpTTTSHzZ2rYhqO2m5HdeAApnUkpkmR8doVsdLa9ieSAybkDAA0Oehif0V6owdHR2ZzprHqLoodIOI0kLbWhBNelfv1dIYBx74b7mQyTypqFzB8jzYQ8byL82imv5m8neeJNFKVLpn7YbEsAkJbYSKOmxCQkL/QmLYhIQ2QnphExLaCOmFTUhoI6QXNiGhjZBe2ISENkJ6YRMS2gj/DwH6wb2Imm2kAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2750, D: 0.2383, G:0.1234\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3000, D: 0.2242, G:0.1523\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3250, D: 0.2268, G:0.1505\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3500, D: 0.2257, G:0.1642\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3750, D: 0.2335, G:0.1556\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "D_LS = discriminator().type(dtype)\n",
    "G_LS = generator().type(dtype)\n",
    "\n",
    "D_LS_solver = get_optimizer(D_LS)\n",
    "G_LS_solver = get_optimizer(G_LS)\n",
    "\n",
    "run_a_gan(D_LS, G_LS, D_LS_solver, G_LS_solver, ls_discriminator_loss, ls_generator_loss)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Deeply Convolutional GANs\n",
    "In the first part of the notebook, we implemented an almost direct copy of the original GAN network from Ian Goodfellow. However, this network architecture allows no real spatial reasoning. It is unable to reason about things like \"sharp edges\" in general because it lacks any convolutional layers. Thus, in this section, we will implement some of the ideas from [DCGAN](https://arxiv.org/abs/1511.06434), where we use convolutional networks \n",
    "\n",
    "#### Discriminator\n",
    "We will use a discriminator inspired by the TensorFlow MNIST classification tutorial, which is able to get above 99% accuracy on the MNIST dataset fairly quickly. \n",
    "* Reshape into image tensor (Use Unflatten!)\n",
    "* Conv2D: 32 Filters, 5x5, Stride 1\n",
    "* Leaky ReLU(alpha=0.01)\n",
    "* Max Pool 2x2, Stride 2\n",
    "* Conv2D: 64 Filters, 5x5, Stride 1\n",
    "* Leaky ReLU(alpha=0.01)\n",
    "* Max Pool 2x2, Stride 2\n",
    "* Flatten\n",
    "* Fully Connected with output size 4 x 4 x 64\n",
    "* Leaky ReLU(alpha=0.01)\n",
    "* Fully Connected with output size 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([128, 1])\n"
     ]
    }
   ],
   "source": [
    "def build_dc_classifier():\n",
    "    \"\"\"\n",
    "    Build and return a PyTorch model for the DCGAN discriminator implementing\n",
    "    the architecture above.\n",
    "    \"\"\"\n",
    "    return nn.Sequential(\n",
    "        # *****START OF YOUR CODE (DO NOT DELETE/MODIFY THIS LINE)*****\n",
    "\n",
    "        Unflatten(batch_size,1,28,28),\n",
    "        nn.Conv2d(1,32,5),\n",
    "        nn.LeakyReLU(),\n",
    "        nn.MaxPool2d(2),\n",
    "        nn.Conv2d(32,64,5),\n",
    "        nn.LeakyReLU(),\n",
    "        nn.MaxPool2d(2),\n",
    "        Flatten(),\n",
    "        nn.Linear(4*4*64,4*4*64),\n",
    "        nn.LeakyReLU(),\n",
    "        nn.Linear(4*4*64,1)\n",
    "        # *****END OF YOUR CODE (DO NOT DELETE/MODIFY THIS LINE)*****\n",
    "    )\n",
    "\n",
    "data = next(enumerate(loader_train))[-1][0].type(dtype)\n",
    "b = build_dc_classifier().type(dtype)\n",
    "out = b(data)\n",
    "print(out.size())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Check the number of parameters in your classifier as a sanity check:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Correct number of parameters in generator.\n"
     ]
    }
   ],
   "source": [
    "def test_dc_classifer(true_count=1102721):\n",
    "    model = build_dc_classifier()\n",
    "    cur_count = count_params(model)\n",
    "    if cur_count != true_count:\n",
    "        print('Incorrect number of parameters in generator. Check your achitecture.')\n",
    "    else:\n",
    "        print('Correct number of parameters in generator.')\n",
    "\n",
    "test_dc_classifer()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Generator\n",
    "For the generator, we will copy the architecture exactly from the [InfoGAN paper](https://arxiv.org/pdf/1606.03657.pdf). See Appendix C.1 MNIST. See the documentation for [tf.nn.conv2d_transpose](https://www.tensorflow.org/api_docs/python/tf/nn/conv2d_transpose). We are always \"training\" in GAN mode. \n",
    "* Fully connected with output size 1024\n",
    "* `ReLU`\n",
    "* BatchNorm\n",
    "* Fully connected with output size 7 x 7 x 128 \n",
    "* ReLU\n",
    "* BatchNorm\n",
    "* Reshape into Image Tensor of shape 7, 7, 128\n",
    "* Conv2D^T (Transpose): 64 filters of 4x4, stride 2, 'same' padding (use `padding=1`)\n",
    "* `ReLU`\n",
    "* BatchNorm\n",
    "* Conv2D^T (Transpose): 1 filter of 4x4, stride 2, 'same' padding (use `padding=1`)\n",
    "* `TanH`\n",
    "* Should have a 28x28x1 image, reshape back into 784 vector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "torch.Size([128, 784])"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def build_dc_generator(noise_dim=NOISE_DIM):\n",
    "    \"\"\"\n",
    "    Build and return a PyTorch model implementing the DCGAN generator using\n",
    "    the architecture described above.\n",
    "    \"\"\"\n",
    "    return nn.Sequential(\n",
    "        # *****START OF YOUR CODE (DO NOT DELETE/MODIFY THIS LINE)*****\n",
    "\n",
    "        nn.Linear(noise_dim,1024),\n",
    "        nn.ReLU(),\n",
    "        nn.BatchNorm1d(1024),\n",
    "        nn.Linear(1024,7*7*128),\n",
    "        nn.ReLU(),\n",
    "        nn.BatchNorm1d(7*7*128),\n",
    "        Unflatten(batch_size,128,7,7),\n",
    "        nn.ConvTranspose2d(128,64,4,2,1),\n",
    "        nn.ReLU(),\n",
    "        nn.BatchNorm2d(64),\n",
    "        nn.ConvTranspose2d(64,1,4,2,1),\n",
    "        nn.Tanh(),\n",
    "        nn.Flatten(1)\n",
    "\n",
    "        # *****END OF YOUR CODE (DO NOT DELETE/MODIFY THIS LINE)*****\n",
    "    )\n",
    "\n",
    "test_g_gan = build_dc_generator().type(dtype)\n",
    "test_g_gan.apply(initialize_weights)\n",
    "\n",
    "fake_seed = torch.randn(batch_size, NOISE_DIM).type(dtype)\n",
    "fake_images = test_g_gan.forward(fake_seed)\n",
    "fake_images.size()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Check the number of parameters in your generator as a sanity check:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Correct number of parameters in generator.\n"
     ]
    }
   ],
   "source": [
    "def test_dc_generator(true_count=6580801):\n",
    "    model = build_dc_generator(4)\n",
    "    cur_count = count_params(model)\n",
    "    if cur_count != true_count:\n",
    "        print('Incorrect number of parameters in generator. Check your achitecture.')\n",
    "    else:\n",
    "        print('Correct number of parameters in generator.')\n",
    "\n",
    "test_dc_generator()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter: 0, D: 1.426, G:1.502\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 250, D: 1.304, G:0.5317\n"
     ]
    },
    {
     "data": {
      "image/png": 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er6urK1VdiBI2IqKJ0LD0OnY3CPF33323JGf/4I1D0kFdu+eee6roaByDbYpkwwPNrkSsrMhuXbYItT8mEhYJBjuG+Cs7K3E3CpH5qXPE5mzHceyeY489VpJj2mAfIql8CRvy3pcp1l0LuMd4uCndusMOOySsKGvXMW/mVotNXTS5uy/gX2P8DTzTJCpYLQktssiYZRElbEREE6GmOGwW2ElJAmD3wSvHTozHdcGCBYnHFEmGrcJrvMfEbtnp/QJuobk3okAZ6yc2R5Fs4q54ubFTrRTt6uqqSl7mL3xorgvHIZm4NlltOEKvi6wp7ft5953rj2bx4YcfVvHMud/W9q5LuuSUrO0L+N5bnktS8Xi28YgTr65njTGBPSJiKUIhCVuPpLX6vE2+bmlxvTtpAIX0HTFihCRp3LhxkpzkIpZHDDgN2IacJ40FxPn949L+Ii3YQbFR8QZitxNrtjZ5W1tb4knGS0wGEiwt7GPOBSMICetfr1D5myJsIft+PcCWPf7445PStNw7uMFp6XJFYZ+/vDhr2aLcZQFzyWpaxKcXRwHAKGEjIpoIpUrE2OZLtSCNgcR7SB1KkOy77769k/zUdkCywZaCaZQG2/E8L7aYtSa+i9bADku5yyOPPFKSk8AwgThu+PDhSawYuw8mDR5ntAf40tdcc03FOopIxEZ5UUOF7Cy4Zk8//XTSNvOwww6T5NaF36FI5/XQPEKvQZ5kTStlVAtsMj65zI1s7ByZThERSxFKVZzIspGyjskD38GOw8PMa2wFWD9UsbCZDmkZKBwTsqXKSC5brhJ7jfgwXGJac3Cc35j6/vvvlyStu+66FfPD1qc9CdpDWhlMW/bTemjLrg8UlWgW3d3dyVwon4JnH42CrCO7niK5q3kIZbqkPQ/1SFq+C8OJ+8+aWWNfeolrIk4UCTGAIpPnZvNgUweK9/kBkFjAw4wqknYOS5ULwZI0WIdPNGceqHncKJxe1KfF0cVfzv3hhx8ma6KsCvWb//u//1uSdMstt0hyFL4Q2T/tB8saOG8ZFPnB5Kmira2tyUOMU5ENidAHcyxjThVVze180r5fdqw02DrN/FDZKENO2rRz1zqPqBJHRDQRMsn/RYjjdlexamqemtXS0pI4ldiFkWS2xyuOGVRl3Oy+NMpzLllS9ec+97keyanMzNtPrEaS4UDhLxLNpsbhPEMCT5gwIUk/s44LWwSMeSDh01Ri5sh14zXz+eCDD5I1tre39/jjgFoSxkPhpPb29kSSImltnyEIFHnk/zTpY9drEzj69euXS/6v1+nU2tqaJLSg2aHu86zYewuKpD3a35FNcEjmUdv0IyIiPgvUJWHT7Na8nSztc3bO0A6JhONz27fFlx4hWxrp/cknn6RKWFvAzS+SVTS8FQrw+6GrvGP974TOEfouttTcuXNbvPd6pGobvR5bEvh0y1D4LNRpL+9cPiy91EqfMhK2Vtuxf//+yfW1KZJFSSlZNqx1aEYJGxGxFCDTS2w7qqXp3UU8Yv7rNOnj2Sapx1oPI/PClvA7wbELsxvyHfrUWuTR37KC7pwrdA18CWRtSGvn5PkC/ONYG2NyrLWHJZcSZoP7vjQq6newUsC/xjwjluhh713eudKuAdcZ6qqFTThIG9tK39AabZIGz2ZnZ2eVpM/zl4Tez1pz2j2sGCPz04iIiCUKmTZsRETEkoUoYSMimgiZNiwexlB5ye7u7lwb0No/NlbV2toatHOsFy6UBO7bjiG6IrbcnDlzKib4hS98oUdy7KksT6O1YfKS431Pb1p8N23sPA+jH7e2c8WWe//994Ne4rQ55tHhQvc4y/Nr76llZ3kF1Sr++vOxNl+aF1ySVltttR7Jsaz8JmSME/Loh2xq5mf9BZK7ljZawXyJ03MN8Cr7hRpsTJ9j+fvCCy9EL3FERLOjVJnTRhCokxN70snGWYuWwkybTyhmGGLJdHZ2VjCd6uF9NuL6FJF2IW+jxwhr8d7LZas1am7+eewcQ1pSmRaZ3jkqJrLccsv1SNnccju/kLZgUcabzWuYeHDObfE6X9rba0oExGoRIErYiIgmQk3tJhsBdtqOjo4gOybvu1mxtaKpYr4t7Y+ZtrPm2XCNuD55cWtfwtYinSz88csw2nyk2cFZXOEiY5aZR5HrUDZ1sJZ7yfxozk3RAhqRUxZ11qxZQZ9C3nWJEjYioonQsELiebCeP/T7/v37J5ksIXsHWFu3jM0YOibUuj4N1i5rpM0aYhPhNbQsHvu//52yaIS0KSrBQhzpLOStyzZN6wt7vb29PfEY22IISHhs180331ySKwqPxCWr64033gj6afKankUJGxHRRKhLwmbxbENAYrDrvP7668kOafX6kGcR1Np23kcoLppmD1tbqYwdxu5LCwt24T//+c+SXBzY7rBpJVUaYQdmSaOQ1G+k5LJx2DLftegLycr84KCfeuqpSRM0nlNKF3FvifWjCVJgfOrUqZJcfvT8+fNzNZAQ6vrBFrlAXAACxPQloZfMWWedFexFAhEa0retW0yVQpscXWau9dzkog/097//fZ144omSXHI7ZsChhx4qyfXQue222yRV1oHyx25tbS2czpV1TJkfe5FrZLs18PCiRtp+RJAc/vGPfxQ+f19U/g+tjfnS93ifffYJlrmx4R2IEiuvvLIk1ynA3tM05K0xqsQREU2EUlUTawG7D31ofvOb30hyquFqq62W9KaxqVns0nSvow8NPVT/8z//U5KreVsLipIh/GPpvEcfWNZ26aWXSpJ23313Sa6EDQXXfDAGLn/Urf/5n/+RFK5HnDafWlTkrO+Uve8DBgxIajRTOZL5b7TRRpJcp3Pw3HPPSZK++c1v5p6T5yCkQZXR9Io62DBRzj//fEm9mtGoUaMkuWf44YcfluRqMfM80CcJcwcyhKUypiFK2IiIpQilutfV4nxgx9htt90kSWuvvbYkRyMbOHBgMBHcOmK++93vSnK7OG7zIrZBWfg7nbWhNttsM0lOSjJveu2wHgqT+TbPX//614qxIKhzPWzIwF7rrN25TImUWhxWFqx/0qRJiV8BBww2Oj1k8TNwHPeuyLOETZjndLLwn6datUXs1nXXXVdPPPGEJOmCCy6Q5DS7Bx98UJK7N6yR86dRJmv9bUUJGxHRRGh4f1gLvG10N0OyUDj7j3/8Y1WHNv4iWZFU2IIUFp8yZUrd87NgzX5aFXbmmWeeKclVtQdIRdaEG/9LX/qSpN5OdHhFsWuxy7HlkEx5hIIixPasdTUCjIX3c5111tGMGTMkSVdccYUk150BLzD2PcfxXJTp11R2DY2IAAwbNkxSb4fCF154QVJ1V3kbjnz77bclVZNf/BBdWaokiBI2IqKJ0Gfkf3ZDbNZVVllFkissfcwxx0jq7Voe0uPZdWmF8frrr0uSTjnllIrPy3gJQ+/bomHYIZ2dnYkH9Nvf/nbFd9kxkaRlvNXYcHgQ8ZrjEc3qzGfnXgSh2G0tUggvKD6FGTNmaNNNN5XktA17b7DVrb+C653VR7YRBJlaccIJJ0jq9fCiHeSRPWxhA9ZoixhI5ZMSooSNiGgi9Bn5H0kxadIkSW6XufvuuyU5L6IUlhQwm+hmxxgwo4okmxf1ijI256Ttxhe/+EWdeuqpFWMgSfFW48UMwadwMsYRRxwhyUlpbNl6+qmGzp02Ti3j0qWPuWKj7bvvvlWeXLveww8/XFJ10Xj8E9D2iqwl9H4jJTB+iy233FJSr5160UUXZX7HTxmVnNaEl5hohm/zlp1zlLAREU2EPmM60UaRWB1jEcvyd2DrKaShEjsaEhapzE6VVqStCLndR0giIMXb2tqSTvB4eh955JHMMVkP0mTo0KHaZJNNJDnmDJKc86633nqSHNf4/fffl1RduiZt7iBUDK5eMO7zzz8vyWkBf/rTnyQ5krvk1v75z39ekmM4nXTSSRVzxntM2ZQiCEnYUNqj73ku7IX9dKxrrrmmYqz77ruvYp1p38Hz/eMf/1iSkufm1ltvlSSdc845knrvqS3cVjTtMErYiIgmQp9J2OOOOy51LJgvaelr2L1XX321JGmnnXbqnaRp5cFr/tq2lGXmznGMYUtlTp8+var5kQXzAHiAV199dUm9mTikaWErA7/ps+S86EXWYRlYaRK2EXbdHXfcIcklYDPmPvvsI6nS68kxSNSDDz64Ym7Yc3jcuaf1oBHpdUhSNB283tzzmTNnJmsjzsq9I0qw3377SVLCOUZ7uPHGGyW5Z8t/jqINGxGxFKPPmE4whUBWLA3Jiq5PVo4FCcMwTaxkSZPaodf2fWv/sBsWWTsagU1wxqbBnpOcREFq26bQO++8syTp3nvvleRiz2klRez9SZOwRQqohYDmMGLEiIr3H3vsMUnVDbYkJ1EPOeQQSdUaBZktVpMogqI5zbU8r6z1uuuuk+S0hldffVVSb+wZ7ZCcbu4J38Wzzz377W9/K0kJQ8qWI5LKs7f6LKxjA+EsiskfffTRknppfAcccIAkafjw4RXf4cK/8sorknppjJK7MDYI393dnUsEz0PR6n8+oCxuu+22ktwDjuPowQcf1IQJEyS5jYy5o25CLGEMHmjUr1oqA/rrqSWBgzCOraX11FNPSarcMNmUQj9UUii5h7WgkfRKCxLroYwiRAjvDBkyJNepx0Z95ZVXSnI0zVBVk9B7WYgqcUREE6HPJOzZZ58tSTr33HMr3sf5ctVVV0nqVatsT0x2HVQLQgME1y2pIKtbuq1CmIciDgx7jmeeeUZSr4NKcmQRxnj11VcriCL+fB544AFJLpGbWk9ck4ceeqjwPLKkcJFEeFu5Hk3BXrv9999fknMK9vT0JJoDUhlgAowePVpSuRpOFqGQR57WkHUvWRtmGCFDm5zQ1dWVXF9MMsZFS+K73NNQ3eysWmh5mlSUsBERTYQ+k7C4sg866CBJjsBvK+370pXdlxAHu7I12sugES7/PNieQG+88YYkRxqZP39+0JaEQIDTibACUs5S93yiibWpsmw8S0j352HDYnyG/Ywtjp3K3EgCuPzyy5N7h9MJUPIG4nxfIOR3KHLP/+M//kOSNH78eEmO0PLLX/5SknOE9uvXL9HsSO+0fhq0x+22206Scyzig0lz0pVFlLAREU2EPpOwSJmNN95YkqMXkvyNzbbSSisluz4udDyl2LCNkI5l7Zssu8hKSTzgttgW60nro4JUhgL31ltvSXJSGi8xNE2uRUtLS1WPXeZjQ2lp60mTRvYz5kvpEzSd008/XZK01lprSXJFx84++2wdeOCBFXPhL6mQfQlLoLHIen7QGpCs2KE/+9nPqo7F821Lt0KcgHpITx3CXyT6P/vss5J6Ja0Nc8YE9oiIpRB9JmHZQdDz//a3v0mSBg8eLMl55To6OpKdETpbkVSrosiL3eV5GLM8euy4aATYobfffrukYvE37HVsPDziSA1sLJLF/YR/K1FCEkaqJq4UIcgzHnODVHD88cdLctLprLPO0rrrrlvxXbSLmTNnBufUaGTd69A95PqjrRAvTgO2O15htB+eaSQutio+AK5BFnmoaIw5StiIiCZCTRK2lq5xxCHZef1SkOw86Px9gaLJz2XsZVoxnHzyyZIcA+imm24qPRbSmtQ1gCbyta99TZI0efLkKtI/r20Sgo8yZXSwxXmNpMBjiv8BW2377bdP4q1IrJEjRxY+b72wNrgt2N3d3R2Mb+Klx3a1LDq+t8suuyTUROxdwPOLZrjVVltJcs+61WbSChpEGzYiYinEYusPy+7yr3/9S1Il15RduZ6WGyHUQ37PA3Yl8TdaM9TC5glxbBlr2rRpuWOU4aqmvW8ZTUgqytCS1I9UQpJ0dHQk95USr8TOFwewtXnGkI5+Gmao5I4tWTNmzBhJLvmc69/R0RF8lkjU2GuvvSS5uHUIaaWMiiJK2IiIJsJi78DOLu3H/CgnQ/pcPQjZBkWzeMrYFrvuuqskl+FhWzTw3WWXXTbxJNIikwJulJuhNIwF8U3syLa2tmAcNg2h1DPf7uM93+bzX9u/N998syQnUdZcc83EroMxVAsrrVbYe4zE9dtDhgqWw30mDm7vgx/bZnzarYwbN06S0yaKZFTZsSxiMwuaM4oAACAASURBVKyIiKUINUnYWuw+dnT4p+x+H330kSZPniyp+K5cRPrZz8qOnQW8qBtuuGHF69///veSHLsLryrZO2VABtDEiRMlpWd62DXWW4TNStpQcj+5uz4PHA2Av4sTNiOLv7zvSz777KDxUTgN5hmSFhv22GOP1YUXXlg1XqOR99uKEjYioolQqEQMqMejihSiMDPSYNGiRQmDJK94dhnPmp17nm0QGjuN6cRaKDRH+0HW8aMf/ajibxmQ3TJ27FhJ1Rkhvj1m51ymoJkvlfK0DzypeMOpEOLb7LC8KOdKDLKRyNN+rIRl3n6WjL2XSFC0PHwNi8sGt/cw7zktpRKnXbCQk8a+puTG1ltvXfH+7NmzC1XOT3tdJsm8KIqMTQLzZZddJskl62eR7xkPBwXhD9RL6kJde+21ksK9ZvyQgP3hks6Xtp7Q+62trVX3jM0UEgcqIKl//HCpCvjmm2/qvPPOk+SSt4tQPv3P+6J6v98VMa/u0+JIw/SRVVAgC1EljohoItQV1vF3oyLhA0l6+umnJbniVieeeGLihi/aBycLtfbWsfMuMjYqKNoDdYjpdkfCw5QpU6rK2YTGzNvhfWmBOofqlyZhQ6GfNCK6VSn5zKae4UzDwfSPf/wj0Ry4l/b614Oi99Cn/vmv/WuWJ2kbib7QGqKEjYhoIrRk/fr79evXI9VWTMruhoRxSEkibezxxx9PqIlld6KsXTyUZL5gwYKKg9va2nrSvpf3Xhbq2VlDTghfQliJwzGQMWbPnp2scZlllumRqiWfP37oOtrXNlEfm/29994L0jGLUkOzrpld56JFiyoGbW9vr3hO6+mt81nBJl588sknqRcuStiIiCZCpg3LDmrDBVm2q/VcAivpIIv3798/8YimVbdPO68NiGeV7OSvLWwNCMUgIYrsznxm07js5z7s9cATa934eGYZA3ICnmn/Xtgx0rzU2J+ENmz1+TQiuiVghO6xrzXRMT6URG/XaW36LEnMd23qIeAecm3S7mFoLUW91T09PVX0xpAWVEv4kWuOBhpClLAREU2ETBs2IiJiyUKUsBERTYRMGxYPY8gDmOaxDFG6QsTs1tbW5D17HmsTWHvH2hAtLS2pnewkZ2998MEHFcbScsst1yM5ZlFaGlZZmppt0uWXwbFrS/Pa+mPYVDd/XJt87fVgTdbY2dmZew+zPNL++YC9h/369avyJxRlEuXZzz6w5+fMmVMxof79+2euMQ15tmuaTW2f9bTkgjLnkqqflYEDB0qS3nrrregljohodmTasMQos1g4eRI25P1jZ2lvb69i7hTlfaaNHWL2eAnzqXHYRpK9G5k0UQt6enqSCYTuYZZnPW++RRIrQsyuPPhj2/nkxdL7grCf9YyBetLt7PgxDhsRsRShrmydLImbx4AidjZo0KCkPAexvHokbRlpXARZY4ewuCVq1trybMpGfLdfv36Jfcm9Q+qUbQCVFhcu8p2+RhojrB6JXuvzGCVsREQToVQCe1ZmSSijIsQ8ogTH1ltvrfvuu09SNVMFz22ZHbTReY7+jt9IlM0XzULRZtVp42ZpSaHXFquuumrS8Ak+81133SWpt42HVFuBsqK+APts1cMHz3qOLUusHuR5y0OIEjYioolQyEucHJySZ2g/s69DWTM0Ku7o6EjaeCBRbQHrUBOhrPhWiP/a1dXVYt7vSTu+0Qhdn9BuXUvGT9oauYd2PP+8IQla1IbdbbfdkooZ5ORiu2600UaSyjXlDs0nlK2Tdw+zssqKnrO7u3ux5M4SPVm4cGHqhEqFdUDWd/JUYgjq9NScO3duQmxfccUVJbmbPmzYMEnSE088Icn1SLUJ71nzsaSAvB9sI5OO/TVTVoXNiLWwSZVZU975uru7q36wIMucsa/zCBRg4MCBSefB3XbbTZJ0//33S3JJ7hQumDBhgqT8zTjtPa8OWKEfbJG0S4ss9T+02XBP7TOOAw5Tr4x5Y5/T5PPcESIiIpYYNFzCJgMHguvDhw+X5MI6bW1tiXShRuw666wjyXWupjofXeKuv/56SW7nSlPvPkuVOC0Y/r3vfU+S9Pe//12S614+Z84c5pU67zLn86hyucSJIvMu6uTp7OxMnIgUZqMCJsXZ9t57b0muzMxpp50mydUBLjI/JJlVFxuhJdk10fsWLU9yzxs1o1H7KaRHPWqetenTp1ccn5V2aamZVosAUcJGRDQR6pKwWcY8OwcJuTvttJMkVx0fzJo1K5E22D/spBdddJEktztDrNhuu+0kuY5uRUjfZSVsI2xJQhzDhg1LOpTTO5bdGcnK7s37jXI6NVKDsMUAuE8rr7xyIlGxWZEmQ4YMkSQ9//zzFd+lbvFXv/pVSZUlSUMISZ/QcwqKrB1KIFrcT3/6U0npNi3PK3WnN910U0m9JCDJ9fKljxJdBSjakOV4C2kRIErYiIgmQl1lTtMkLLsgXcEuvfRSSU7CIg3ZkS+77DI9+uijkpzHlL9U1KdLGp7loUOHSpKee+65UnMtg3okEt8dNWqUJOnnP/+5Lr/8cklOAlkiQYgEzlhFqvqXIVDUA6Qkdutbb72V3E8rPWbOnCnJaUMUI2e9IRpqGdSjDXGd6Xnr26wWtrsfHegHDx4syRUWpAvCk08+Kcn1P/bt5DzNNIQoYSMimgg1SVi/KBY2F+Tv7bffXpJ08cUXS3JFtrFh6NpN7DUrIE07C5syx1hlPJ6LE8ThfvKTn0jq3cXPOeccSdVFyuzauI5oJlOmTJHk7Pm0tiaNIKMXAdJoxx13lORs9GuvvTZIPeR9iqpjs9KlvEzEIXRPa7Fd0QT/+GnneytZkfy33HKLpN7udRS0sz1kkaxEQO68805J7jfAb6QRqY1RwkZENBFqkrBIgZVWWinp94qdiT7Pbj9mzBhJ0h133FHxfhEgnf1Od5Lz0hVhOC1OSYu0xF7j2px55plJfNJ6Wm2nNeK1e+yxhyQX47vqqqsk9XpTa7V/Qt8pStuj0/waa6whyXUtz9KS+C7SmXuIn4LrUCQOnbe+ItKa89Flb/fdd6/4LpIfjy+RCf/8xFdX/7Q1Cx0HeU5nzJghydmwae1Lak1SiRI2IqKJUEjCWhuC2Orqq6+eSFQkCAwWbACYPLV48GA6cd533nlHkovZFUG96XVl8Mgjj0hykpWd9oQTTkjOTzFseNPYRUjUww8/XJLbrdnh/WJd9cQbQVYpFgukI3HHbbbZRpLrEzt37txgHBs7F485Eg4mEUkgxChDc0x7DWqxg2HV8dwiNeEC+JLVngftwPKgsVWvvPJKSdn8gFo921HCRkQ0EQpJWGsPsvs8/vjjiVSxzJ16gDTZYYcdKs6LbZiFvJSw0PFZyNsF4cciLTh+rbXWklRpt+NhxIY688wzJfWyhXxwjU899VRJlfZiaH5F4rBpUitk7zPekUceKUn67ne/K8llGsHk8a8P39l2220lSRMnTpTkJCvHsj40jKzMmtDrvPfTjiGejR+Eptw8v3nNxX1svvnmktwa0Px4HvLmUvYzKUrYiIimQqaEDf3afR0+LSHaR6g4ddoxeIUPO+wwSU4a4WUjFplVEqSsJK2HJbPzzjtLcpIVEH9j3q2trYnWgH3z9a9/XVJ1IWkYQ1tuuaUk6dlnnw3Or0w+cOi7acdyP7BdsevQcJC4vjTiOyNGjJDkSsTY+//AAw9IcvxwWEBFogeNTPZHE7zxxhslVWtHWeCeIZ3RHtAm4Bj0BQrVdMpSTYpexKwLwQ911113lSTts88+ktxFJfkZB5btONcIelsWbCgGFejaa6+tOC9qHm5+vnfSSSdp3Lhxkhypwv5QbYUG1M0y80v7ERapHWV/qHyHsAW0vbvvvluSoxv6511zzTUlSb/61a8qzscGBKkAR5y/mRVFI5xtgPO//PLLkpyqzP3h87Tnm+fUdkT8zW9+E/xOoxBV4oiIJkJNxIk0Nbisy53dafjw4Yn0QfVil8PRgiRDPeS7Walodj6hni15u3ZLS0uiAXz/+9+X1BumkVxoAhDumjx5cuqYklMrrUPqxRdflCS99NJLwe/WgyLJ6Ug71kGoifuCswmSzK233iqpN7xD+iBhK9TDY445RpKTZFb6NEIa1WPWoAEQ5uHZo8cNYZ+PP/44eQ86I+C8OGDLOF7Lkl2ihI2IaCLUbcPmfZe/7LyQqUkCwLEhOTsC+wGHBDYj5w0FpLNsuKK2ku1+169fvyq65ezZsyW50jVZHdck6bXXXksS96EaYvMRAthss80k1Va/N/S66GdcI64zDq+DDz5YkvMxHHfccZLcvRw9erSk3mvLvA888EBJSqoo9mXpnUaCyp1oTRD6oSpOnTpV++23nyR3PQC2ftkuB1KxwnE+ooSNiGgilArrZIUWbP9XPLkk85KMTnkXH+zOv/71ryVJv/vd7yS5nQzbgfKnEOWxL/x+LmXTlULF2jhHZ2dnYrsRkrjhhhskOWl5yCGHSHIpWoSfHnvsMUm9dilSmDQzXmPvlgnYh5BmD9p+t1nXhfco68KcCFMwFsR4e88l6S9/+UvFWPgbuFbrr7++JHctkWCfNZgvz9SkSZMkudDi+eefn0QvOBbSC17zRs4jhChhIyKaCJlF2CjgFfyyp2/jXWO8XXbZRZJLBlh77bUlVceu5s+fn9hzr732miQnDay0o+yM7QxgJW0amJ/tu0kBL0vewJ6TnC2NbW0TkkHWtYR6iP3L+ZDKVMavB2mFxPv169fz6XsVx6TNFW0IUgO2LEXFGAObjTFWWGGF5LORI0dKcjFbEgbwrOM9pvA43lnuZVtbW7C4+GfRvQFCxSuvvJLY7hCHuF68bgTS7qGPKGEjIpoIhbzEWbEyewxeNsqjkOyMzcZxsJa22GKLqtQqO6ZN1UNaci5250WLFgW9bkU9jEhRv/yobStRS+wQW43v8roMo6kW5CXy++8zN4qdIyWRIPgSNthgA0kuLr3FFlskY4wfP16S0xzwWaClUCoHyWo7Fvb09PiStOKzPG981tpqlb5oRsstt1wyHwrpLa6idz6ihI2IaCLURP73P7deYpo+sXOyKyEl2WmJ8bFbSdU7qN1hsS+xYRkry4bIS06wNp2V5t3d3YUKleeBtXGdrrvuusx5NRo5vgpJ7p7h9bRaAVIRXwO84AsvvDDxppK8j62+//77S6qOrVv49yFku5aVsPWUCeI7RxxxhKTea8CzSnFAohZlCirUiyhhIyKaCDUxndLeZwfFHiXuesYZZ0hyjKZjjz1WkivK5o9nbRW/2ZLkJCuSwEq+IknQeWtsRAJ+Giw7Bh5uX6NIthQSFO93qBgB152/xJRHjBhR0dxMchpKUfZP1vyYR602Yy32K/drzz33lFQp3ZkP9i2li/rq2fERJWxERBOhVBG2tPdtzIzd5rbbbpPkdm+Kjj300EOSKgtq813es82NsVHz2jukFSgrar9k5YsWyXTJAzYeY8EmqifTpFEoEqNNA8fNmzevqh1FX9jmi0OCMX+4xEjanp6eJN4P/xsbH+0xFJ9vJKKEjYhoIhSyYS2y8k5tsSuqFRCPozQKu9GcOXNyi0izW8Nttbt3kVhrXt5rlp1u+bi1gLg048JDJbcyraymnUctqKVETFGkjbG4vN59DaQmz/HcuXMT7RGeMVoFvhX4AXwny38Q+t3kaYSZP1gbwE5D3olQGyDQU6eWJGmcE2mwY9ZDXKgVra2tVSVUalHNCHcwFtcjtPlY1EoCKFMiplaV2E+66Es0sqZTHghL4UR95JFHEnOO3k78QBEkON54PmwfpSwUNd2iShwR0UTIJP/379+/R6ruDZJVXsR+BmEaGiHqA8H3rq6uKseVDe+EyOBlEuk9x0Aq+T/LWVXLeX20trYmyd8UlPvzn/8sKV+9L5OUXqQDez11mLO+W6boXr3o6empmIhNcPCOKz0215B0QHoSz5o1K5GcSFQrQUNqbto1CZlx/D7mz58fyf8REc2OuiRslv1jpaSllaWFZoraUkXCLPYYyBdz585N3Z1DUtQPXdVqKw0cODCR8IQG8uwxGx7JchLZ7/gS1moQafepqAaR5YRshGMuNJ+U81VMpL29vUeqprKmPVtFzi85SQc5Yv78+Uk4J6Tx2TFCPpi0z4BHDooSNiKi2ZHpJcYLZuHvFCHpw06BZAnZuGk7Mt9FCtuEdlvwOs0bZ3c5vNIWePYsWcPfRYu64O1r7PdVVlkl8TaGrkOoWFwRm9ZSONPmYMkn/n0LrSdNowodF/I3hCRukZCHPS/PhQX30Kbq+eHCkKYSek2BPQgv/fr1S0KRlMzJCxXaex269/55Q785ECVsREQTIdOGjYiIWLIQJWxERBMh04YdOHBgj+TsnzQKYZ6H0do9RbrZUagNfR5b1tphELOxnwYNGpS098B2ppgaNsyzzz5bYbQsu+yyPVI1nSzNZqyVTpZ2TJqt7L+2Ce8c/5WvfCXxVrJ+7G9s2JkzZyYn6+zsrPD0gyxPZ5at5X8OsuKLoefD2ry+rRtKWCdh/O233664mAMGDEi9h2lrtPOz88xK4bO+FAtrOxexm+3vAp/DnDlzopc4IqLZkWnD2hje4rJ3Q7uf3QWRxEiW/v37J2U87A6OxJ03b17FztUXJTIbQay3kpV1LLvssgnTJqTN+CUyQ0yuWuflnydrvDytw0rxIvFb7umiRYtKM53KxvbtGD6n3CKkNZZh4lkvsX1Ok3PljhgREbHEoKZ2k32NkOSgcPMmm2wiSRo7dqwkx0u+5pprkvaB1t4OxfAagUZmixBTpAA38WOaaQ0YMCBpuxniYC8u+Osu68tAKypTwKxsFlHa9cizrUPXMEsDaKR2ljdWlLAREU2Eusqc9jWsLbD6py0iaJZF6w6S5K+99tpk57YlOsuWyKxlnqHXZUCLE1pZoDHce++9kqQnn3yyare3Dch85NlmRbi7dgzb1uTjjz+u4pvnjWW94EVyjPM0iCLssbzzlNFW8orCFWGn5TGvqs6ZO6uIiIglBku0hAXsOtdff70kx+8EcDzb29uTsh1ZmRs+lpQ1glNOOUWSs/GQREjajo6OIMc2jS/dCA9/6LvEDBcuXFi4ugLtPmiwhXZUpFh7rTa6zyUu852ix5S9ti0tLVWNw/Ni36CmusSLC5z/sssuk+QqDQJCODvuuKOk3nmGahWHnBuhNS7utfPwr7vuuhXnhwxgHU3+3FgzqXs+Qg9VmfVZ9Q0Cw+abby6pt7Mb537jjTcq5omaTofCSy65RJLrMbvrrrtKcj9c34Flf6AhYnyI7FImZLQ40dPTU5VsUvTHH1XiiIgmwhItYTnvfffdJ0k68MADKz6HqogUykJRB0FfrRmSB6q6DTOhJdh5IqGQLm1tbVXd2vkO5JAiKLM+q7bRP2mbbbaR1FsR8uWXX5YkTZ8+XZISiij9VelST33qEDEkDUVJD410/qWdw94btCJbzbOWawvynKNRwkZENBGWSOIEuwzSiPKSlnxNbd8ssIPlOUX6UsJ2dHRojz32kCQdf/zxklyICifT4MGDK+bJrk2Yh3KwafPiOqX1sekL7Qh/wFprrSWp1z5FY0D60lH+rrvukuR6CdHdnaQMksGLlHUJOaYWB3V20KBB2nTTTSVJxxxzjCRpvfXWk+S0J87/yiuvSJLOO+88Sb3d/YrOL4Z1IiKWImSS//uCGJ8FXP6ENOhHymtCNkjYoUOHSpJeeumlZIxQCpxXdiaV/B9CPWtn3tOmTUtIHtbOfOCBByQ5yYTkxV6nj2xWwJ81I7U++OCDFu+zht08rvvo0aMlOQny9NNP6+yzz5bk7gV0USQoWhNd3TfaaCNJ0i9+8QtJSr6fZcuGyP95CQ55n/mwdjr+k6FDh9YcVkI7omP9hAkTqlJFQSzCFhGxFGGJIE6wc7LrAvrNzJo1q+I4gCcStLRUd5ori7RE5rLXASmK53TFFVdMqJK33367JBdXvfjiiyVJl19+uSRXVnPatGmSilH2mF+aDdtIm5x1bbjhhpKcFB09enSSVB86H7Y5fgdi6xTqzrretdqoftE+tJ2RI0dKcoXcoVeSWIJGs84660iq7FVsO/ShPVCwDdseAgvH4U1eY401JKV3bgR5MeMoYSMimgifuZe4paVFX/7ylyVJu+++uyQXq2MXJpYH2KGyUuYsqbwo+T+NjF10Z+e7zzzzjCTX+Ov000/XySefXDEvxtx6660lScOGDZPkvMNIr3rRCAnLGIceeqgk6Qc/+IEk6dFHH5VU2Xkv7zzY6EghKIq+NAx1MwzF0kPnxIs7aNAgjRs3TpK01VZbSVJyP+imiMd77bXXluQkHZrRiSeemKQ4Ehu3neqZB/6KKVOmSHKNz6DW1qMFRgkbEdFE+MyZTsOHD0/S5YhF0jjLSkXmgQf1vffeS52vVH9X8VpAYj3ea+Zw2mmnVRUbY4233HKLJOdRRlpZNlMRpNk/oTQuH3lr3mKLLSRJZ511liSn2SBJ0lpQ2DGxEW2f3BkzZkhy61+4cGHVveM18c68dfA9JODw4cMT/jOtIunLy3nhpT/11FOSXHojBeD9NZKIEQJeYc4Fj5oY/Mknn5xwrm2LkzxGXpSwERFNhM/MS8xOstVWW2nVVVeV5OKIdpeB4XLQQQdJkq666qrUMbMShRuRsRFqIYH3FM8jSOOWsrbvfOc7Fa/p7g2zyWoPReZVK2yiN/NGKsHGCvkM2traqphkNlZ+9dVXS3LxTew67Dy0qY8//jj43IU85nme6SeffFJ33nmnJOd9xzbFa+3FsCUV46eHwHkffvhhSUoYUt/4xjeS1zC/LCKXOCJiKcJnZsOyA++7775JLA67jd0QFtBFF10kKX/Xy5pnrRI2i9tqecpWM0BKHnLIIYnNdMEFF0hykofY3amnnirJNXwuAnt/imS82Ln39FQ3++I1zDO8+BbYpSNHjkw4w4x7wAEHSJLOPfdcSU46E7s8/fTTJUk33HCDJGcXppUmzUOoERdx+hVWWCG5F9Y3AOMI+7hIIn0emPc///lPSc6Wxkez9957J/F4+0zlNcMqRE20aMQPGBUE1USqJogXrWJQBGndyT99P3ONflgnpBKDK664QpK03377Vbzf0tJS9TCh3hGMxzHB9ShDFLfz8esS25q9ZeoMMSecghtvvLEk93Bz3IcffpgcAyGE15AGeGgxZwiz2JCIf01tCCzUnZw+xvzYbKL9qFGjknkRcmvks2WBQxESBqE7MG3atERNtt0K+F18+OGHkZoYEdHsKEWcCKlVtYDSIL4aOWnSJEl9s/uVTX5O+15egvRhhx0myQXhofC1trYmqi8qD1IKqQEVDjJCmZpCZY4pkuTNPWHOEPR5H0LIwQcfLEmaOnVqUmdr1KhRkpxkBZg5EBZC5AhfRS9K2ws9l6jZDz30UBJG6UvJinSEWIKTKS1dNFRlMq9Oc5SwERFNhMVuw7JLY+McdNBByc5JkbWZM2fWPH7eea0Ni41nCea1rBFpCdEAUvi9996b7Jz777+/JOeMwQlCUbJ6wglFbFgLX6LZvxDjmZOVCqy3ra0t0Soee+yxis8IV62yyiqSnJ1ZSzI3ksqmSNKhzzqMOH7NNddMwkiQGhoBnimcb2PGjJEk/dd//Zckaf3115fk7HdIGQcccEBCyAiNaZ/T5POGzDwiImKxoFRYpxEE8n322UeSIw50dXUlieqk0S0J8Hf3PPvXlkfBK4jXu7u7OzkGSYQNS1ijEZI1DXn3zE9J9CWm5EIeVipaT3dLS4uuvPLKijGQ6BtssIGk2tZX1Ib1U+D8c6ERvPPOOzVTVdPAGvGiQ2PEZoVIg1aFZIWGmkWKidTEiIilCIWoiY2Iu5KSdNRRR0mqpKKNGDFCUt8WfM7zAodirWXGhmgwfPhwSa68yMYbb5wQJfAgspOOHz+++CJykCZpy6zDejORUHn3ZdCgQYmXm2NZ5+zZswufv1bgeSeGbSmM3d3d2m233SQ5YgqFy8sAm55i7xRj86MBkjR58mRJTqI++OCDFfP75JNPao64RAkbEdFEqCkOm+NZrviLrUahbJv6NH78eL344otlprFYkLbWkDfV/r300ksluTjgtttuq+23316Ss3/Y4UnrqmeORRBiZ/koUo7GB1rT448/nqzrnnvukeSKDzQSoefOlhm1a+zs7NQ555wjyT13JJzkgbGGDBmSRDZgKbFmPP033XSTJBdz5lrgA8C2bm1tDd6H2KojImIpQiEvcdb7tmgZsdRtt91WkrTzzjtLcrxOdjZ2n/PPP7+2mZdErXZ4FrfVjknZE7yHJEfvueeeCen9iSeekOTK4ZSVanZOaa+zvpPGP7Ze4jwCPNfh17/+taRe7ixpaaxrcQJvtvVQY1efcsopSUwcCZunLfK8Ei8fM2ZM4v3lnuEFRltCq0BjzCqSDkoXlit1dERExGeKhtmwtgAV3k92NjyQME7goS6uVoB5UigktdK0CRvTozTpH/7wB0nSaqutJsll4kyePFk33nijJCV/G8lpzbJPQ3a2fw+xAfnL3GyXdLiyxNDHjh0rqVfi0IokrdRqoxC6h0g85o/X+LjjjpPUW1iNY9B68OQjHVkrz+vjjz8uqdLWZQz40BMnTpTkytna0jH2d+Jf+9BvKbbqiIhYilDIhrUlRHy7y9pzlOBgt7MlL8hG8fNgP0vk2elZ2TrYNDCasF0B1+uoo45Kio0tbhSJ96Ex4MXE+0tJUorLbbbZZpKUxM0Z64wzztD999/f4JkXh/UtEA+fMGGCpF4u99FHHy3JFfOmOALgeeVa2Jj01KlTk5aZ5NZiO5flK2QVDYgSNiJiKUIpG9Z6hNN2FCTnkUceKUlJ8WV2DmzYxY3QzmULi6XlKdoSlPylAgO7NoArCiOmEWtuVAsSO55fDQMgoSjzQv4rkpa2HGScXHLJJX1asC8Ptt0mua83PiUVdQAAAmJJREFU33xzcswdd9whyd1fPPqbb765JFcknUwxPLyXXHKJpF471bbqqMf/ksdPDyEzvc6mntlBe3p6cpOKqexOFXYqyTVSRcwy5q2qYdOWSM3ipqclVofGguxN4johLUrFcLPrWVOWs8jOj43E7+7W3t6emV7nl8BBDcQxgwORHwIqMSEPKHgzZ84sXQspdJ+KkHLsPVx++eV7JOf0sU5ByW3MocRxuxmTDsiPv7u7O/luUfpq1o8vtH7uQexeFxGxFKAmlTj0Ou0znFD0DS3S57SoepUmfcqqGsynjHrDWHQZJ5yz1157SXKhmzRYJ5w9b97ai1zztPGzkh/stYEQAHEfhwzpj6j40Cr9EFXePayF9JEHnH9Z2kieBmC1DEJYrH3BggVVpmBeUb4i57OvIzUxImIpQsPJ/xbWTZ610xW1ZxpZDK4IoSK0g2Lb4eZ/9913Jamqu3ZWaCgPZehstUgrf33Wfrd/p0+fLslJ4LRyL0U1hDJzzQt5IGHztIki82IMtIc0zSsvVROUsWFjel1ExFKITAlri3B5XkhJ6V3L+As9jHIpuMmxg9ISm/Poenm2Q9YuhefTApKAlYr+2tAO8DRaAglhECTP4MGDJbm1dnV1VXkYGd8vs+K/n2UvhZLukTRp6wtd26xEDtaLPcdY9O9Fo/j4448LkwjyJGza9ziWeVhQUpV7nOYnsd0DLXheoSbaMq3z589P1mivZSjcmWXjhiRs6DkFUcJGRDQRMuOwERERSxaihI2IaCLEH2xERBMh/mAjIpoI8QcbEdFEiD/YiIgmQvzBRkQ0Ef4fLLzFxBnwKJUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 500, D: 1.268, G:0.7893\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 750, D: 1.14, G:1.031\n"
     ]
    },
    {
     "data": {
      "image/png": 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W4Nra2sBCaEkC4oPOsQtFC3ZRbI3Br+NFtVLbuoq/CLU9tyA3i61TxmG/Qv1hNW+tYaHr+Xf+QsfY39vz9rNCUvtDFNg9ZgV/Qb+gz+111d+2bdsC5j1QIopCRZOwt21Vt91hCxcubJRKqvUJKkMjOIZ1cMgQQq3EDg4OTQuOYR0cMoRQHbZVq1Y5MOGGWYb0iQULFuQpTfX19TkILk+TpMypfW5NTU2oDu8/N6ihk9+OIJ1If3UN6XgzZszwbqY11Pm2/9WvowdFPNl9Yv1B//5r+f8dpKMX80nmcrlA24Du+8cff+QdsMgii+QguKBZoWv6vwuDzvPbB/ScbduLbeux7Qb+51noMzClaX799Vfnh3VwyDoiRTo11ZKVSdBU4lDteN04rUJ0jm0d1c4/Z86cRpFONoKs0mFjta3QlS6aV6zdZLnX0H7uYtA0fx9BkqD3fWp3cnBwKDtSL3PqEA02wyV51nFiZ21dye9btf2FKqSnomMqNqcsnQ8//BAw7Rb/V6Ci4vLdav7lKu9TCI5hHRwyhEQMW41i0c0VSZ5hkM5UiHGDrLHSw2pqamjTpg1gWnMccMABeefYWVSDBg0CTAHtuO0mkiJuXnScbKIo6NatG2DazgwbNqzka9oopg87hnVwyBBSL8JmQ3qRiq+puPaUKVO8Y1ZeeWUge0XYSoHtdxM72pbXODqur81loJVY+qiKhLdq1Yr9998fgFNOOSVvTEHQGPW3vr7eG79ajUi/u+WWWwDTCCoNn37QGvq+B9Jl2BYtWnilSSWdqDh8Od7boIoTkUrExEl9Uk9M1ert3r175EGq89kTTzwBGNEszQcSdbHThlwua621FmD6lKqLnV5wPcfbbrsNgJEjRwLhPXfswIK5c+d6c5RrTlD9Kf0o6+rq+Otf/wqYGlVHHHEEYPrC2u6cOMkZOla1ebt06QJE74cacM2CZX7sexb7LA4uuugiTj/9dMD01lENr6Ckg1IS6l2JGAeHZoDURGIZJlTRf+utt877XqZvdeZWTd8NNtiAlVZaCTBims95DMBHH30EwGabbQYYJk6CcojEGq/YS2KnOtLts88+tG/fHoBll1027xzbzaK/6i6gXjCzZs0KvL8d2DBv3rxGdYmjlF6x0wLbtWsHmMqX6hYvd4/WtEOHDt7cBX2nutQamyoHqh9NwiT4UIYNOCfR/SQZ/fTTT169aYn3ei42JL2U4u5xDOvg0AxQcokY7c6jR48GTP8ZQf1hn3rqqaLX6tGjB9C4P8tyyy0HwMMPP5x3zaBuYpWC5i5p4p577gFM5f+wYluCzayq23z//fcD0eaoaybVmYolyYsVdX2x/+TJk4GG7vFyDX3zzTeAmY/674wbNw4wNo6jjz4agOuvvz7RmMPmUcjNk1SCUg+eVq1aeUY2dWuww0plQ1ASejkCKhzDOjhkCCXrsNrNJk6cCJgSGzvvvDMQrnsFYfXVVwdMtzT9XxbG8847D4DHHnsMiMcstm5QiutKfVJV4V/6qY358+d7Vl71FFK3NEkPsjgqGEFdu5MEJeRCeuv4jgk8X/pm165dAdh9990BPBaVDqdeQlHGKGYVO4utJI3EcfcE6bBJi8mF4eWXXwYauqure4V6yX755ZeAYdYVVlgBMJJHKQElTod1cGgGKFmH1S4mFkwDYmUFWYtZ5S/UTlbtruWyAqtlhaBn8uuvvwINkoD0Gem52q2l86vVhfrZlCvcL6y8qHQyBbnLkqteQdJD1XktzhjffvttwHQhl5Sk///zn/+MPfYgpMGssg6rFy7ArbfeCsCMGTMAPMv/nnvuCZj39vPPPy/5/kFwDOvgkCGUPTQx0iD+u3N27twZgBEjRgCw6qqrAkZHeO655wATJRRnhw9KDE4yR5VKkd6u0EpBUTxfffUV0GBBl56tfqDbbrstYPTgm266CTAMnMTiWyjBWzpslILi0l133HFHwHQglJVYHeUVVpqEybQO0uXVAU9rHRYBVSyBXUiDYSVdvPLKK0CDvq4xahxawy233BKAyy+/HMALYSwFTod1cGgGqHqrjpqaGt5//33AWN2WWmopwFhML7roIsDoeWnfH5K1ihg1ahQAhx12GGB8pnabxl122cXTv6X3iM3kcx47dixQvoZOUSJ9NCb5uWVDeOutt4DSIszscUin1z1kA1HX91KuXQq0xtKptR4HHnigJw3I4n3xxRcDJrZYPuhywjGsg0OGUHWGbdu2Lc888wxgdtdJkyYBxrKYhsU0jd1X15DPUJbOCy64ADAxxH379gVM7G2nTp08hpU+Lj/kSy+9BMBvv/1W8vgKwY5VDoPifvv06ZP3uRi2WEuPKFh++eUBw6xidVljS2HYJA22bChJXdFr7733HgDPP/+8d4x0VVnPFYFX7D2N0xY1CI5hHRwyhFCGTaMUjM0ogqKCRo4cyX333QfAmWeeCcDJJ58MmB0/DYYtp89WzCO/qyy+jzzyCNDgW7VZS89UvrtyjS9OLrHWRHq2xiRdXGtYyvugHFu7yParr75a9NxixcBLeV/ld1W2md7bM844w7u2itBttNFGgLFVyJIchEItJKOWu2k0zrAv00g5kwgkhV3hba+//jrQkJKml1mDVdiefqhK5lbNoTQ7EaQhRtnQNeS6eOyxx7w6QEpD0/ORWGVvbNWol6UN0q5s//XXXwPG5ZJkbLqWAkU0fxkSleAehkLd+fwI61xQzOim4JwOHTrknavUz7q6Onr16pX3na6lNZS7T++tvrc/L8Ww6ERiB4cMoewisZzNEv0UMC5jy/333+9d/6ijjgJMILwSgTfffHPAOOzvuusuAG6++WbAGCr8PWy0q4kVqhnGuNhii3kMaj9TuQIkNVSzEqWdwC5xWtJRGhLXmmuumXdNubOiqD1Ba5hG1URJfnaFSJXw+fbbb73SOTbTK0RV9Zr1bsvNp79prK1jWAeHDCG1ImzlhIwe/fv3B4zbRMYqGXdmzZrlOeRV/E27nj6fP39+xaomqqrehAkTPDeGdnAlqvfs2RMwQSNJUKDjXawSMYJcGSqCJx1cIaOlFE6TxCNXnf5/6qmnAvDQQw9RbJzSrf0lcKBxaKLNuFEMb2JNSYLS56W/T5kyxTM2+UrxAMYVpGNLeZeCwi8Fx7AODhlCJnrraGe/8sorAROULr1QDNu7d28v4F4pYAMHDgTMzm6jHHOUJfjpp58GGoqZ2b105IhXml0SBPWUTQpZqO2yqanoXv+VLBRcIpaKw0qF3CMQbGuJ49KS5VZW4rPOOgswCR79+/dvpNtrfdNg1qhwDOvgkCGkll4ni+6hhx4KwPDhw0sbWQyIGVq0aOHtlJtssglgyqkKxcqcluKX1bkqITJmzBigQffSGGUdPfHEEwG44447gGSpgjaz6nN/IfE4qWcqazp16tS868n/aD/LOFBCh/ytCjJZZZVV8v4fhqAUybq6uhw07pKQRsCPSvg8+uijXoKC1lBlkGQVTgNOh3VwaEZILfhfVlj1FpVFrVjYVimw9SEwO7Z02aRIsjvLEiwdW4wwZ84crwibrJBp6jthulqc4H9ZhWUzkKVUhQPEkknKy1544YV511SyQ1gLEhuVtKlI4pFleskll2zko01SYLBUOIZ1cMgQUk+vU5c6+dcUvaQkb+1OKm/566+/Jt45pUsIuVyuZGaNA+24Sp1TQrOKxKkczPPPP++lj6kdiYqmqyi1nRwhFLL82tbKMJ0tybNVuqD+ihWlb++xxx6RryUpaNddd80bj9LWYpaoLfh50DXSiNRTpNOKK67Y6LmX4jsX4o7RMayDQ4ZQtgT2Sy+9FDDpSdJtpRPI8jh48GAvVliMFARZom1mFYplc0RBnN1YBdRUnExWQ+2a0vXWW289L2tJY1QBL7WqUJkRO0lcz0ufz58/P5BZo+iyUeY3ePBgwGShqK2GSqPoc1l8/de0Y7n32WcfwDwrjVHlZtJgQSEoW6cUyC6hdQBTxjToPbRRyPMQNO9iz8ExrINDhlD2EjFDhgwBTPSPmPXaa68FGnZrFWYW7B0paKdUhIkaFlUKGo90V+XzSgLQLikfnv8cQYyr+F2xlfQx+QEF/24ex89YIM646DnCscceC8Ann3wCmOifZ599FjDRY5988omn50pX1dyl9+mvpA75Xe3Wommg0PuS1L8uScEPFVpIijDmdyViHByaESpWhE3+NpXgUM7rd9995/n3ikFMrHOVW1styJeoccgHrOyisHaTOlf+PjGqmEa+UP31V6KwWTOMLaLot8WgGG7FPcs+oSZZdXV1gcygcct6r5K2KqMTR88sdmzY90l15FtuuQVoiCXWWsWNLShUwibOGvpR9cr/LVu29JLcVedXoq4q/MdxrhdDmh3YZYiQuC+Xlmr/6AX/6quv2HDDDQHzA1X/VzuAXD9Y/bV/aGGLXSi9zu7sloZxR64adQg466yzvFIqMqqpo5+6lL/22muAcRFJFJao7ze2Bb3EOqdYel0hpFmzOPKPK2B9woxOLjTRwaEZoeoMW2kE9RaNIzIGiV6+BOvAcyQui5UV0qlzio2jEMPa9/An6QcF/6fpTgmDfR/NXyxtu/IKjcdObqgWw8ZFGMMWO8cxrINDM0DVK/9XCkFBFUFs5d8Vg3ZE+/OwFDm7a4AdimgHQ0RBlECBahchsNlFDCtpJIpubReHs5E0CKHcKMd4HMM6OGQIFWfYJA7sNJLKpTPZCKpqHxZIH1TkK06ZEzF+scT5MJ3OPlZziQP/taJW1rcZLZfLNTpG81Qwib0OGqv+hunwdnkZG0FF2Asxb9xCBbp3XV1do24FxdY7CcMGSRHe90Wv4ODg0GQQaiV2cHBoWnAM6+CQIYTqsIssskgOghs0hUVsxIFfT/D/9aeUhY1DKKSP2brTzJkz85QXzdHWTwohqk6SJNzOLj8iK6od8ZTL5RoVYZM+rBTG6dOnewNQgTI7uD5s3eyx2OfY5y5cuDCyr7GY7lhTU9MoYUB6sKKkfvjhh7yL1NfX572nQdfOApwf1sGhGSFUh00SBVTSYCy28UXulHztYm0esrgbC3pOip6aPXt2o0inNGNpC1mJ04TNwvb7YK/h/0JEnuAY1sEhQ4jUbrJScae2/pZl1gtCqc8yLPKqlPFA9DFJZ46i9yeBfT27bM7/MhzDOjhkCKEMa5d1rBRkFUxSsDoIceeQtlRhN5iK2roxqKRpIRTS9YvNI8n87CZZ5X4/gqKTsopSpCTHsA4OGUIow6ZZGCsKVCrm6quvBkxpkrfeeqvka8fd0dLUyxZbbDGvlGu/fv0AoweqoPrPP/8MwOOPPw7Au+++C5jyp1GaRRViunLYAVSyVEz7zTffpH6PQigWZ5sV1NbWNrKwF8tIEmL1hy2X8UnXHTt2LABrrbUWAC+++CIA77zzDlCa6FUJA5ZtpFONpzvvvNOrb6tKiwp6t8e12267AWauN9xwAwDHHXdc0ftXSjTVS6XqgX/++ae3yaoafppupKD/p3Htcr4XdmKJ1scfaGKj2Bo2jy3LweF/BInS69KuTtexY0egoUK+/xppVPKvBFSATL1ott9+e8BUja+pqfHUi2KheXJpae6qth/GCJUy/mhM5513HgCHHHKI97kkgBdeeAGALbfcsuT7lTMhPc1rqXax5ixJ0e4AsfHGGwMNak7UrgE2HMM6OGQIqSWwJ92x6urqvM7e0o1kYPn444/TGVyZoMr4w4YNAxqH0AkLFy70SsOoZOu3334LwBdffAHAFltsAcAyyyyTd+7IkSOBaM83jH3TgLryqWSraivX19d7+pqkJOnqadaOrrR70Ya6Gdxzzz0ArLnmmgB8+OGHgJm7vf5KWtB7orVOAsewDg4ZQqTQRNv0XKggclL861//8lhF11e5kKjBBVFQrPxJHChV75prrgGCTfEa/5QpUzxmffTRRwHjupJes8MOO+SNU93Qb7vtttjjKxemT58OmHmrWHiLFi0YMGAAAD179gSMHj969GggHaavpKVfa9q1a1cAXn31Vc+dpffzzTffBOCggw4CDMOqT9LJJ58MmMLyctWFFesrBsewDg4ZQiQ/bDl2NnUkP/LIIwMZXHpfU0kC0K6rzns2s8oSLHa88E35awEAABXsSURBVMILAVhjjTW8Tm/qYi7fnDp8Kwhh1qxZAKy//vp5xzUFqHu8mFYBLfPmzfP0SzGqAkTUkkT6bhRUMgTRZtRll10WgNNOOw2A448/HmiQIiQxiUmluwpqzaJryoouZlbIbZTxBMExrINDhhAr0slGoZIsxc7RLnPnnXcCDSyqnaldu3aAiRAR25STYeNEvMhH2rp167xzbIlg/PjxQIPuCtC7d2+v47rC+M455xwA1l13XcBYj7Ury4qcZC6FPkvjGQ4cOBCA7bbbDjBtRsaPH++xjfRaWVQlSb388suR7xNW1D0t6Foqq6NxqiOfPABi3rlz53LooYcCMHHixLxr6X149dVXASMtHXPMMYDpdhdlDYrFHjiGdXDIEEr2w8ZNej799NMBEwU0dOhQ2rdvD5gdSUwmxion4jCQrHuK6uncuTMAq6++et73inhRTPSCBQs8PWaXXXYBjBShKBj5NkvxPZdb1+/duzdg5q0u8rlcztO15XNs06YNAJtuuimA52svllBSU1PjvSv+2Nu0YLO0Ismuu+46wEgG9vr06tWLSZMm5V1D3gJJQ0rk0DrYEqKeUW1tbWBSvmNYB4dmhJIY1r+jBzGVdoxevXoBsN9++wHw0EMPAQ1NnGWRk+yvXU3W1jSQhh9Wx37//fcA9OjRAzCxxDfffDOAl0qnaJ9C99e1xowZA5QvqquUNic2PvjgA6DB6g3GglpfX++xb7du3QAjbdjNr4ol4vvZ2p5DKTqsdFE7S0o2BEkGtiVXeunEiRO9sYuF9Q5LepJEKF+7sszCYqLt1i36DQTOI/RbBweHJoWSGzoHMat21E6dOgFw+eWXA2Y3UhRILpdj3LhxgElgnzFjBmB8YmnoMNrJFixYULChcxo+Z+2OgwcPBuCoo44CGnQb+znJwnr22WcDcMUVVyS+rw1/icw0y5zKiq+ken9zKruUjRo1Dxo0CDC+6yRtNe3yOnPnzo1d5tQuuh7k39b7KXuKpKl77rnH09nlX99jjz0A4w2QLSNOaaOg+HN/U24/Uk+vs4/ZZJNNACN6aHKafNu2bRvVCJJbpBrpVKW4QSQGnnHGGYARd/v16+e5DfTSa3M65ZRTALj77rsBmDp1auz7hiHNZygVRYn5WqeOHTt64qD9w9ULn6R6SVCd6iSwDT9B0EajaifafHv06MHee+8NmPrPTz75JGAMiUmetU1GLnDCwaEZIRHDxnGBSHzSziFzv1KT1l13Xc8QoN1GKVlpOv2jXiPNe8no0K9fP08U22abbQCToiUDxrPPPgvATjvtBMDnn39e8jjKBYUmrrbaakCDwUZGp+HDhwN4rrrJkyeXfD+7x1IlIHVs//33B0xYJkCfPn0AeO6551K/b7H3zzGsg0OGUPYO7HKYKzxrq622AuDwww8HGnQ629SuIOtKBP2Xo4q+DG4KN/Trb9Jrpf8orU5MKwZWYntTSXwIwx9//MEbb7wBGNuE2NAO44uDcpaICYLsKXLnKPWztrbWkx7KwaxR4RjWwSFDiMWwSXRK6R99+/YFYOWVVwZM4vall17qBWDrukrFygK7gLFiKlFZrgHpsP6awnoeDz/8MICXFCCHvVK3fN32Io+jmpXxL7roIsC4TZROKPdVU4fW8OuvvwaMxOMvqnD99ddXZ3A+OIZ1cMgQIpWIEUphPDGLrJ8KjB4wYIDngJeup905CeKmZgV1G7fP919DPlRZRk888UTA6D/S15VK5y9pKR1PCQRiUo1DqWsKlbMZNqwvS7Uq49fW1nrWbeH8889PfL2gronlkCD0zH766SfArK2gIIjRo0c3iaKAjmEdHDKEWN3r0vSLKr1uiSWWyEsShnjlRNJCWGii5i12lAVX1m1B+posi0qZ+/HHH71IJ/n3xMZBrBgUjhn27Kul8y+66KIeM0lKUkHxJLAjm8rVhxZMJJbGr+f+yy+/AMbGMG3atKqXWQXHsA4OmUKkEjFBukQpO96OO+4IQIcOHTym0s6qkjGVQJxgdMWSqjWDDVl6lfCgRO9CsEu6SroYNWoUkKw3bph0UE72bdeunXcfPc9ylKhNU4dVkTh/CiSYgP5HHnkEaHptYxzDOjhkCCUVYSsFe+65J2AyH8BEx6RhjYsaJROnBYbSAMWGNtNGYQC7FKpiiB944AHA6H5BJUSSrkk5pCTh0EMPbeQ3LqVYdlDv1DShDBsbjz32WMF7Lrroop6NotJ9k/1wDOvgkCFEinQqx67sT37W9VRyQzG4cRHGcGnoP4qLVSlSxZaKaWfOnAkYC7D8yZMnT2bEiBGAsT7qWDGToqEK+V0h2jOPUuY0TT1QNofDDjvM+0zzKoWFgqSjNJlWsc+2/9getyTAvn37ctdddwH5kWuVhmNYB4cMIbREjMqLBKGUHU8W19tuu83TXbt06QKYfMskKKbz+cun/Pf42JMQs+hvKXmaxSygcdilUBkcuwSOfd1SoJjp6dOne1LFWWedBZjY4nIgjTWUj1wFzvX8VU1DVvonnngCaLAtnHTSSUBp+nlU2HMUSioR4w+Ti/sC3HvvvUBD7xW5Q0oVhYvUp0p07UJIs15uUF8hG8VCKIt9FwT//eKeL7Xml19+8RK8JVLKXaKSK+VMmUyiqintUyqJfa5cjVKDvv32Wy9cVMfahsFKGKOcSOzgkCHEEokLiZtp7JilGrMKnR9kbFm4cGHeJOyqglGuVU4UY1g/q9vjKTTHcorEkowuvPBCrxazeqaKjRTGeeuttwImfS0Jiq2hfZz/r9jPDvCIA62BDFFKC1XigFSjNIy0QSKxY1gHhwwhlGGDdmc/mgLDRkHUusSFxmbvyuXUw2zE2a0LzbFly5Y5aMwoac5hySWXzEvmAJMooWADdQ1Qzekk9w9aw2KSYE1NjTf/JIUB7Ova5VfTTE4ImqP3fcl3cHBwqBhCrcQy1dtuizhO/GLH1tXVNTomiMmCrhllPNpZbdgF4HRvv1VWgd92GmDUnTUsoCHo/0FW40LX0rGFkhL0mRjFnqd/7FGft/39vHnzvDQ1BRUoQET31TukdUjiCrPTGYWgtfVbcbV26jAXNcBDc/SH0MrlY58bVUoKg3T/IDiGdXDIEEJ1WAcHh6YFx7AODhlCqA5bX1+fg2B9I5fLRY4gCtKP/N2obV9jXPYvFLWjz3wdtSNZiZuK5BEloUHPrXXr1gD88ssv3klawzTC6YLG4v88afRXlHn6+gfnHRz0nqa9hnGj5aJE3tnlcKSPz5kzx1mJHRyyjkiRTuVkm7CynWkiyL+VJHC8qcHufTpv3rxGkU5NoYBYqQiKdGoOayj4+tc6hnVwyDoiZeuE+QhLZcdK6YrFfIlNRWdNgrCMqSzPy0ZzmktSOIZ1cMgQQhnWzhUslx5UCZarZqOocsF+bqU+P11P0TZZaWTVVFCRmPiyXdnBwSF1RGqGVc5ykzU1NRx00EGAadFx//33p36f5qjDpj1mWSjVNlPNvNS4TH5OW9IqpUROmqjWWvbs2ROAI444AjD5sSqT42+GVgxF49LDDlBqVjnrxC655JJepX8FU6vcSJq1c6ImPwvV/gHbwQL+ZxE0tjg1nQpdS/fs0KEDYHqkrrTSSoApCaMOe+pSPnLkyIpWErSTu+01rNTaKRhHyfuXX345YPr0bLrppgB89dVXka8Z9J4KTiR2cMgQQkXiShSVqq+vb9RbZ/DgwQCcdtppZb+/vRtLLCy3oa0YFGaoZ/Pzzz8XPacQswSNPyxN77vvvsu7p8q6yBilAmtKM5wwYYInJQ0aNAiAF198MXBMSVEsfa0c0D1VDgeMtKNUPakOn3zyCQBrr702UB6jnWNYB4cMIVGZ0zTRpUsXb4eU8WKLLbZI/T5Rk8zlypK+NnPmzMi6uyQElUeZMmVK7HGq1m///v0BUw42CsPGgea5YMECT6oQG6+77roAdO3aFWjobwumH5D+ytjStWtXVlttNcDocwMGDADghhtuAKpvE0iKbt26AQ0d5W+77TbA1CpWuRu9O1tttRVgSrsqST4Oir5jsa/o4OBQNcRy66QJXXvEiBFeyQ3pBtqZKmmmt1le/+/WrZtXBFvWPlsvXHHFFQF46623AKPb/Pvf/wYaeo2qH4+Kpd9xxx2A6Ygna3CfPn0AWH311QGjT6YNPdull16a9ddfHzDsePTRRwOmO/l9990HmGdz++23A6Y/zaBBg7x+v+eeey4Am222GQBPPfUUYPTgUgrZVZKl9Xw01/bt2zN06FCgsW1n4403Box1WG4w6fhpwjGsg0OGULX+sPLlrbDCCt5OLv+f3RW7ktDuqSJis2bN8vSzlVdeOe/Yo446CoCBAwcChj20s7Zr1w6AIUOG0LFjRwDGjh0LGN+miqSts846AFx77bUAXHnllUC8Tuxx1kvzbNu2LRdffDEAq666KmAs5VdffTVgAgB0jv76JY2RI0cC8NprrwFwzDHHAKYP8KRJkwBTBlX9cMvBQmlAEk/37t2Bhmdit5IRC/ft2zfv/+reXg44hnVwyBAqbiWWJXX06NEAjBkzhpdeegkw7CKdsClgwYIFfPTRRwDstddeAAwbNgyAZZZZBjC63e677w7A+++/D5i5rr322p4uqoLadmnO6667DjBWYh1XLilHLDllyhSv67ukgBtvvBGAc845J/Z1FYanToSyS+y7776AsTzr2tKfo0RKVTKBQ9Zhf8MvO2JJpU8lLUriuOSSS8o2LsewDg4ZQsUZ9qqrrgLMbnTMMcd4TCTmamqpcBqfmEdWYCUrbL311oDR3+zzpk2b1ihAXnqidFlZhYXnn38+reGHonXr1uy6666AYRPFxMaBXezuyy+/BIx1WOytCC4x8M033wzAgQceCJi2lGH3qASUACGMGTPGs/4KirWWHeK9994DYOrUqWUbl2NYB4cMIZIf1kYSvWrNNdcEYJ999gGMv/H333/3dihfAarY10+KKL5eWUClX+pYsYQigWz4raiam3TXNdZYA4C777477/tnnnkGSBYlkwTbbbcdK6ywAmAkgiT31nMUu8gKrKgv+/nqXvLfSro64YQTmkTivCQeserxxx8feIws3YcffjhQmt2hmBThGNbBIUOIpcMm2TnEKI8++mjeNSZPngxAmzZtePvttwHDMtIR00SxIthhOaZrrbVW3meyaBaL75U+179/f0+HGz58OGAyOqTDymp70003hU8kZdx///2eHikoMyWOD1iZPFrvTz/9FDC67IMPPgjATjvtBBgftc6TBf6WW25pZAsQxMqVgNZYOb9+f7Gsw5IKpHd/+OGHJd+32G+s7IETChCX2KWJy7E+ffp0T3kXFPJWyZDEICxcuJB+/foBZvEU9C3DhFwwggIqlGq21FJLeeln7777LmAMVXLQSwzU90kQ1iUvaJ6//fabN59ll10WMOGFCggphtatW3tVQ3QNraFE/NNPPx1oSMUDE5ShTU0/3L59+wb+YCtRNUSkIdVNQTN9+vTx0uekxrRv3x4w4aWVSEd1IrGDQ4YQWiImjYrqchVIBJZZX8aJyZMns+GGG+Ydq4Tgzp07A+l2eQ8qERPlHgqKlwtCoqN2WIlsRx55JGDM/RMnTvTcWdql5VxXKqFEMImKccRRodAcVeYnbPfXvCSuS8QTWwYFNWi9ll56aU+0Vz2jzz//nEL3Vdip6nbpPH3+3Xff0aNHD8CkqWltgqri22tYCuNqDU8++WQAzjvvPKBBMpQorHHouUjMl/QgY2MpxQ/sMjje+BJf0cHBoeIoO8MKcmMoIVvJ3ePGjeO4444DjJ6r3VnhYWnC3rlKmeMqq6wCwH777QcYnVYGJgXVjx071gvRa9u2LQDXX389YHbnp59+GjBujlLgn2MU9vF1TMv7vxjizDPPBEzoqO1+++OPPyKzSZs2bQA46aSTADN/6YpTp07lhBNOAODZZ58FjN3DlwIZqZCekIRpFR773HPPAQ3Snj1vufUkEaYBV4TNwaEZoWKhiRMnTgQah+CBYVYx7fjx4ys1rJIgl8Vll10GmN1R+mehnV1BFmIrMUylAiUKjUmMIX1SiQrS54YMGQKYRG2Vf1GpmDi6mlLUxFy2VFJbW+s9V+nSUcv7pNnjV1Z9JWX4wzUVopoms0aFY1gHhwwhlGHt4lzl8osq9E87txLakyBoty1H4LieSxKLrizjvp6u6Q0sIfTcDz74YABGjRqV9/1GG20EGOu9xvzDDz9Efjd0nPRkWV7lj506daqXxmY/k3IG/9s9dmUhV2mfmpoaz+KdJO0w6v1daKKDQzNCKMMqCiesNEia0O5SSghakDW0qaXsKRlCUBRV2kgiFanw2F133QVAp06dAKOzKkm9FD+nvAbSYcVsL7/8cqNSLEKUdiNxYSdlKMFj++23B4xuncvlPOYvh70h6hwcwzo4ZAihDBuU5pZ2+VHtYrquLIhJUI12Dklgp52988471RxOQWj95RdPA2I06clqfKY0tgsuuMA7thJldhWtpuJw8lj06tULMMw7e/ZsL4Ktmt36HMM6OGQIiZphpb3zqUCXoHjbNNHUdFiVTJVOp4T+119/vei5TW0ucSDJQpFNmouyeX7//ffE71USe4Us0bLLqBi40h/1+bhx4yoSH+BadTg4NCMkatXh9xmlwbJ2Vk7SIlZh+aBNjZWUS6k577///kBD0yUIbxMZxwIedGy1dHrFTCuT6bPPPgOMDl9fX59KtksxaP5iWFmH99hjD8BE5EnnvvTSSyvSetT5YR0cmhFixRLbbJUWwyqvUmVDk+5k/rHYTFKJagVxoJ1d91VR8mLjKPR9GNPan1WLWRWHrHYsWmPFKft1SMXxClHXKIkUpXPWW289wMR2qwKG8rhVxqjcKKlEjFDuRZeTWilXMsSkUXIj6iJW+oc7YsQIwFSNV5mcOJUjk4RfVmqecofofkosUDkapcwpGEGlhCZMmOB9J5eLamfFrabon2sxd98999wDGJFdorFqkYXVS04TTiR2cGhGCE1gV2JwGMOmsVOLUSUuKQi9lF3NHrPuYSc/p5mkHwfqVqeCYwoDlQFOFfPjwCeZNCoRY6sZ5WZYjUXGnE033RQwHfLUz0duLP966d8SS5Vc4UtCiVQiphCKpeJp3FqPqCl+acElsDs4NCOE6rDabYJ257RcJbqPwtPSSDWLmsxcLaOTksS1g2tHVwc89YeNgzCDlFApI5T9jijkT7q67borJLUF9WONeu+43/m/D+tbW4mQySA4hnVwyBBCGVbObbsIlpCGW6e2ttZLXraZ3HYjyfIoC2ohFg0KFJD11UbQNf07XZo7qW0BV5e6TTbZBDDuHfvZh+3qYWmJdoqkfZ0wS3wp7KznqhA/2ScUZK/5hcGel91TV9D3tguvkPsx7JhC19I72bJlS+8YO9006nMJC+KxS7kGwTGsg0OGEGoldnBwaFpwDOvgkCG4H6yDQ4bgfrAODhmC+8E6OGQI7gfr4JAhuB+sg0OG8P/7cTBYM7elLAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1000, D: 1.232, G:1.022\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1250, D: 1.347, G:0.7832\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1500, D: 1.165, G:0.9285\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1750, D: 1.153, G:1.151\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "D_DC = build_dc_classifier().type(dtype) \n",
    "D_DC.apply(initialize_weights)\n",
    "G_DC = build_dc_generator().type(dtype)\n",
    "G_DC.apply(initialize_weights)\n",
    "\n",
    "D_DC_solver = get_optimizer(D_DC)\n",
    "G_DC_solver = get_optimizer(G_DC)\n",
    "\n",
    "run_a_gan(D_DC, G_DC, D_DC_solver, G_DC_solver, discriminator_loss, generator_loss, num_epochs=5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "pdf-inline"
    ]
   },
   "source": [
    "## INLINE QUESTION 1\n",
    "\n",
    "We will look at an example to see why alternating minimization of the same objective (like in a GAN) can be tricky business.\n",
    "\n",
    "Consider $f(x,y)=xy$. What does $\\min_x\\max_y f(x,y)$ evaluate to? (Hint: minmax tries to minimize the maximum value achievable.)\n",
    "\n",
    "Now try to evaluate this function numerically for 6 steps, starting at the point $(1,1)$, \n",
    "by using alternating gradient (first updating y, then updating x using that updated y) with step size $1$. **Here step size is the learning_rate, and steps will be learning_rate * gradient.**\n",
    "You'll find that writing out the update step in terms of $x_t,y_t,x_{t+1},y_{t+1}$ will be useful.\n",
    "\n",
    "Breifly explain what $\\min_x\\max_y f(x,y)$ evaluates to and record the six pairs of explicit values for $(x_t,y_t)$ in the table below.\n",
    "\n",
    "### Your answer:\n",
    "\n",
    " \n",
    " $y_0$ | $y_1$ | $y_2$ | $y_3$ | $y_4$ | $y_5$ | $y_6$ \n",
    " ----- | ----- | ----- | ----- | ----- | ----- | ----- \n",
    "   1   |   2   |   1   |   -1  |   -2  |   -1  |   1   \n",
    " $x_0$ | $x_1$ | $x_2$ | $x_3$ | $x_4$ | $x_5$ | $x_6$ \n",
    "   1   |  -1   |  -2   |   -1  |    1  |   2   |   1   \n",
    "   \n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "pdf-inline"
    ]
   },
   "source": [
    "## INLINE QUESTION 2\n",
    "Using this method, will we ever reach the optimal value? Why or why not?\n",
    "\n",
    "### Your answer: \n",
    "No.This kind of problem is hard to solve,usually fall into a ring."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "pdf-inline"
    ]
   },
   "source": [
    "## INLINE QUESTION 3\n",
    "If the generator loss decreases during training while the discriminator loss stays at a constant high value from the start, is this a good sign? Why or why not? A qualitative answer is sufficient.\n",
    "\n",
    "### Your answer: \n",
    "Is a not a good sign.It is better to see a significant decline in both side."
   ]
  }
 ],
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   "display_name": "Python 3",
   "language": "python",
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  "language_info": {
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